200 Publications
2025 | Journal Article | LibreCat-ID: 58402
T. Baier, A. C. Ferreira, J. Hilgert, J. M. Mourão, and J. P. Nunes, “Fibering polarizations and Mabuchi rays on symmetric spaces of compact type,” Analysis and Mathematical Physics, vol. 15, no. 1, Art. no. 21, 2025, doi: 10.1007/s13324-025-01012-6.
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| DOI
2025 | Book Chapter | LibreCat-ID: 58587
J. Hilgert, “Quantum-Classical Correspondences for Locally Symmetric Spaces,” in Symmetry in Geometry and Analysis, Volume 2, 2025.
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| DOI
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2025 | Journal Article | LibreCat-ID: 59344
C. Arends, J. Frahm, and J. Hilgert, “Edge Laplacians and Edge Poisson Transforms for Graphs,” Potential Analysis, 2025, doi: 10.1007/s11118-024-10184-y.
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| DOI
2025 | Journal Article | LibreCat-ID: 59343
C. Arends, J. Frahm, and J. Hilgert, “A pairing formula for resonant states on finite regular graphs,” Mathematische Annalen, 2025, doi: 10.1007/s00208-025-03140-7.
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| DOI
2024 | Journal Article | LibreCat-ID: 32101 |

T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, and J. Hilgert, “Ruelle-Taylor resonances of Anosov actions,” J. Europ. Math. Soc., pp. 1–36, 2024.
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2024 | Journal Article | LibreCat-ID: 57498
T. Baier, J. Hilgert, O. Kaya, J. M. Mourão, and J. P. Nunes, “Quantization in fibering polarizations, Mabuchi rays and geometric Peter–Weyl theorem,” Journal of Geometry and Physics, vol. 207, Art. no. 105355, 2024, doi: 10.1016/j.geomphys.2024.105355.
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| DOI
2024 | Journal Article | LibreCat-ID: 58103
K.-U. Bux, J. Hilgert, and T. Weich, “Spectral correspondences for finite graphs without dead ends,” Indagationes Mathematicae, vol. 36, no. 1, pp. 188–217, 2024, doi: 10.1016/j.indag.2024.05.001.
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| DOI
2023 | Journal Article | LibreCat-ID: 31210
C. Arends and J. Hilgert, “Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters,” Journal de l’École polytechnique — Mathématiques, vol. 10, pp. 335–403, 2023, doi: 10.5802/jep.220.
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| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 34793
H. Glöckner and J. Hilgert, “Aspects of control theory on infinite-dimensional Lie groups and G-manifolds,” Journal of Differential Equations, vol. 343, pp. 186–232, 2023, doi: 10.1016/j.jde.2022.10.001.
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| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 35322
K.-U. Bux, J. Hilgert, and T. Weich, “Poisson transforms for trees of bounded degree,” Journal of Spectral Theory, vol. 12, no. 2, pp. 659–681, 2022, doi: 10.4171/jst/414.
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| DOI
2022 | Book Review | LibreCat-ID: 51554
J. Hilgert, “Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021,” Mathematische Semesterberichte, vol. 69. pp. 151–153, 2022, doi: 10.1007/s00591-021-00314-7.
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| DOI
2021 | Journal Article | LibreCat-ID: 31263
C. Guillarmou, J. Hilgert, and T. Weich, “High frequency limits for invariant Ruelle densities,” Annales Henri Lebesgue, vol. 4, pp. 81–119, 2021, doi: 10.5802/ahl.67.
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| DOI
| arXiv
2021 | Journal Article | LibreCat-ID: 36271
D. Brennecken, J. Hilgert, and L. Ciardo, “Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R),” Journal of Lie Theory, vol. 31, no. 2, pp. 459--468, 2021, doi: 10.48550/arXiv.2008.07479.
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| DOI
2021 | Book Review | LibreCat-ID: 51556
J. Hilgert, “Philip Ording: 99 Variations on a Proof. Princeton University Press 2019,” Mathematische Semesterberichte, vol. 68. pp. 171–173, 2021, doi: 10.1007/s00591-021-00295-7.
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| DOI
2021 | Book Review | LibreCat-ID: 51555
J. Hilgert, “Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020,” Mathematische Semesterberichte, vol. 68. pp. 175–177, 2021, doi: 10.1007/s00591-021-00296-6.
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| DOI
2021 | Journal Article | LibreCat-ID: 35702
M. Schürmann et al., “Consultation Phases in Mathematics Learning and Support Centres,” International Journal of Research in Undergraduate Mathematics Education, vol. 8, no. 1, pp. 94–120, 2021, doi: 10.1007/s40753-021-00154-9.
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| DOI
2021 | Book | LibreCat-ID: 51493
J. Hilgert and I. Hilgert, Mathematik - Ein Reiseführer 2. Auflage. Springer Spektrum, 2021.
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2020 | Journal Article | LibreCat-ID: 51386
J. Hilgert and H. Barnum, “Spectral Properties of Convex Bodies,” J. of Lie Theory, vol. 30, pp. 315–344, 2020.
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2020 | Book Review | LibreCat-ID: 51559
J. Hilgert, “Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019,” Mathematische Semesterberichte, vol. 67. pp. 301–305, 2020, doi: 10.1007/s00591-020-00282-4.
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| DOI
2020 | Book Review | LibreCat-ID: 51557
J. Hilgert, “Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020,” Mathematische Semesterberichte, vol. 67. pp. 307–309, 2020, doi: 10.1007/s00591-020-00283-3.
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| DOI
2020 | Book Review | LibreCat-ID: 51561
J. Hilgert, “Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019,” Mathematische Semesterberichte, vol. 67. pp. 123–124, 2020, doi: 10.1007/s00591-020-00272-6.
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| DOI
2020 | Book Review | LibreCat-ID: 51560
J. Hilgert, “David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019,” Mathematische Semesterberichte, vol. 67. pp. 297–299, 2020, doi: 10.1007/s00591-020-00280-6.
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| DOI
2020 | Book Review | LibreCat-ID: 51564
J. Hilgert, “Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017),” Mathematische Semesterberichte, vol. 67. pp. 97–98, 2020, doi: 10.1007/s00591-019-00254-3.
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| DOI
2020 | Book | LibreCat-ID: 51488
J. Hilgert, Mathematik studieren -- Ein Ratgeber für Erstsemester und solche, die es vielleicht werden wollen. Springer Spektrum, 2020.
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2019 | Journal Article | LibreCat-ID: 51387
J. Hilgert, A. Parthasarathy, and S. Hansen, “Resonances and Scattering Poles in Symmetric Spaces of Rank One,” Inter. Math. Research Notices, vol. 20, pp. 6362–6389, 2019.
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2019 | Book Review | LibreCat-ID: 51568
J. Hilgert, “Lizhen Ji und Athanase Papadopoulos (Hrsg.): Sophus Lie and Felix Klein: The Erlangen Program and Its Impact in Mathematics and Physics. European Mathematical Society 2015,” Mathematische Semesterberichte, vol. 66. pp. 247–249, 2019, doi: 10.1007/s00591-018-0233-8.
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| DOI
2019 | Book Review | LibreCat-ID: 51566
J. Hilgert, “Brian W. Kernighan: Millions billions zillions – defending yourself in a world of too many numbers. Princeton University Press 2018,” Mathematische Semesterberichte, vol. 66. pp. 261–262, 2019, doi: 10.1007/s00591-019-00251-6.
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| DOI
2019 | Book Review | LibreCat-ID: 51567
J. Hilgert, “Joseph Honerkamp: Denken in Strukturen und seine Geschichte – Von der Kraft des mathematischen Beweises (Springer 2018),” Mathematische Semesterberichte , vol. 66. pp. 257–258, 2019, doi: 10.1007/s00591-018-0234-7.
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| DOI
2019 | Book Review | LibreCat-ID: 51569
J. Hilgert, “Øystein Linnebo: Philosophy of Mathematics (Princeton University Press 2017),” Mathematische Semesterberichte, vol. 66. pp. 127–129, 2019, doi: 10.1007/s00591-018-0226-7.
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| DOI
2019 | Book Review | LibreCat-ID: 51565
J. Hilgert, “Jost-Hinrich Eschenburg: Sternstunden der Mathematik. Springer 2017,” Mathematische Semesterberichte, vol. 66. pp. 263–264, 2019, doi: 10.1007/s00591-019-00247-2.
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| DOI
2018 | Journal Article | LibreCat-ID: 51388
J. Hilgert, T. Wurzbacher, and A. Alldridge, “Superorbits,” Journal of the Institute of Mathematics of Jussieu, vol. 17, pp. 1065–1120, 2018, doi: 10.1017/S147474801600030X.
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2018 | Book Chapter | LibreCat-ID: 51462
J. Hilgert, “Von Fermat und Descartes zu Gauß und Cauchy - Der Wandel der Mathematik in der Zeit der Aufklärung,” in Erscheinung und Vernunft - Wirklichkeitszugänge der Aufklärung, T. Nieland, Ed. Berlin: Frank&Timme, 2018.
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2018 | Preprint | LibreCat-ID: 51523 |

J. Hilgert, S. Hansen, and A. Parthasarathy, “Boundary Values of Eigenfunctions on Riemannian Symmetric Spaces.” 2018.
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2018 | Book Review | LibreCat-ID: 51571
J. Hilgert, “Winfried Scharlau: Das Glück, Mathematiker zu sein – Friedrich Hirzebruch und seine Zeit (Springer Spektrum 2017),” Mathematische Semesterberichte, vol. 65. pp. 307–309, 2018.
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2018 | Book Review | LibreCat-ID: 51572
J. Hilgert, “Lemmermeyer, F: Quadratische Zahlkörper – Eine Einführung mit vielen Beispielen (Springer Spektrum 2017),” Mathematische Semesterberichte, vol. 65. pp. 129–131, 2018.
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2018 | Book Review | LibreCat-ID: 51570
J. Hilgert, “Barry Mazur und William Stein: Prime Numbers and the Riemann Hypothesis,” Mathematische Semesterberichte, vol. 65. pp. 311–313, 2018.
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2018 | Book Review | LibreCat-ID: 51574
J. Hilgert, “Joseph, G.G. Indian Mathematics. Engaging with the World from Ancient to Modern Times (World Scientific 2016),” Mathematische Semesterberichte, vol. 65. pp. 121–123, 2018.
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2018 | Book Review | LibreCat-ID: 51573
J. Hilgert, “Diaconis, P., B. Skyrms: Ten great ideas about chance (Princeton University Press 2018),” Mathematische Semesterberichte, vol. 65. pp. 125–127, 2018.
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2017 | Journal Article | LibreCat-ID: 31267
C. Guillarmou, J. Hilgert, and T. Weich, “Classical and quantum resonances for hyperbolic surfaces,” Mathematische Annalen, vol. 370, no. 3–4, pp. 1231–1275, 2017, doi: 10.1007/s00208-017-1576-5.
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| DOI
| arXiv
2017 | Journal Article | LibreCat-ID: 51390
J. Hilgert, T. Przebinda, and A. Pasquale, “Resonances for the Laplacian on Riemannian symmetric spaces: the case of SL(3,R)/SO(3),” Representation Theory, vol. 21, pp. 416–457, 2017, doi: 10.1090/ert/506.
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2017 | Journal Article | LibreCat-ID: 51392
J. Hilgert, J. Martens, and Ch. Manon, “Contraction of Hamiltonian K-spaces,” Inter. Math. Research Notices, vol. 20, pp. 6255–6309, 2017, doi: 10.1093/imrn/rnw191.
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| DOI
2017 | Journal Article | LibreCat-ID: 51391
J. Hilgert, T. Przebinda, and A. Pasquale, “Resonances for the Laplacian of products of two rank one Riemannian symmetric spaces,” J. Funct. Anal., vol. 272, pp. 1477–1523, 2017.
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2017 | Book Review | LibreCat-ID: 51576
J. Hilgert, “Pitici, M. (Ed). The Best Writing on Mathematics 2016 (Princeton University Press, 2017),” Mathematische Semesterberichte, vol. 64. pp. 253–254, 2017.
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2017 | Book Review | LibreCat-ID: 51575
J. Hilgert, “Devlin, K. Finding Fibonacci. The Quest to Rediscover the Forgotten Mathematical Genius Who Changed the World (Princeton University Press, 2017),” Mathematische Semesterberichte, vol. 64. pp. 245–247, 2017.
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2016 | Book Chapter | LibreCat-ID: 51464
J. Hilgert, “Schwierigkeiten beim Übergang von Schule zu Hochschule im zeitlichen Vergleich - Ein Blick auf Defizite beim Erwerb von Schlüsselkompetenzen,” in Lehren und Lernen von Mathematik in der Studieneingangsphase, A. Hoppenbrock and et al., Eds. Springer Spektrum, 2016.
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2016 | Book Chapter | LibreCat-ID: 51463
J. Hilgert, A. Pasquale, and T. Przebinda, “Resonances for the Laplacian: the cases BC2 and C2 (except SO(p,2) with p>2 odd),” in Geometric Methods in Physics, P. Kielanowski and et al., Eds. Birkhäuser, 2016.
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2016 | Book | LibreCat-ID: 51489
J. Hilgert, Mathematische Strukturen. Springer Spektrum, 2016.
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2015 | Conference Paper | LibreCat-ID: 31368
J. Hilgert, M. Hoffmann, and A. Panse, “Kann professorale Lehre tutoriell sein? Ein Modellversuch zur Einführung in mathematisches Denken und Arbeiten,” in Tagungsband zum Hansekolloquium zur Hochschuldidaktik der Mathematik., 2015, pp. 23–26.
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2015 | Book | LibreCat-ID: 31373
J. Hilgert, M. Hoffmann, and A. Panse, Einführung in mathematisches Denken und Arbeiten: tutoriell und transparent. Berlin, Heidelberg: Springer, 2015.
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2015 | Preprint | LibreCat-ID: 51526
J. Hilgert, A. Pasquale, and T. Przebinda, “Resonances for the Laplacian: the cases BC2 and C2 (except over SOo(p,2), p>0 odd).” 2015.
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2015 | Preprint | LibreCat-ID: 51527
J. Hilgert, C. Manon, and J. Martens, “Contraction of Hamiltonian K-spaces.” 2015.
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2015 | Preprint | LibreCat-ID: 51529
J. Hilgert, A. Pasquale, and T. Przebinda, “Resonances for the Laplacian of products of two rank one Riemannian symmetric spaces.” 2015.
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2015 | Preprint | LibreCat-ID: 51530
J. Hilgert, A. Alldridge, and T. Wurzbacher, “Superorbits.” 2015.
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2015 | Preprint | LibreCat-ID: 51528
J. Hilgert, A. Pasquale, and T. Przebinda, “Resonances for the Laplacian of products of two rank one Riemannian symmetric spaces.” 2015.
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2014 | Conference Paper | LibreCat-ID: 31369 |

A. Panse, J. Hilgert, and M. Hoffmann, “Handlungsbedarf in fachmathematischen Veranstaltungen? – Spezielle Maßnahmen an der Universität Paderborn,” in Beiträge zum Mathematikunterricht 2014, 2014, pp. 883–886, doi: 10.17877/DE290R-15591.
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2014 | Journal Article | LibreCat-ID: 51394
J. Hilgert, J. Möllers, and T. Kobayashi, “Minimal representations via Bessel operators,” J. Math. Soc. Japan, vol. 66, pp. 349–414, 2014.
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2014 | Journal Article | LibreCat-ID: 51393
J. Hilgert, T. Wurzbacher, and A. Alldridge, “Singular superspaces,” Math. Z., vol. 278, pp. 441–492, 2014.
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2014 | Book Chapter | LibreCat-ID: 51466
J. Hilgert and G. Ólafsson, “The Radon transform and its dual for limits of symmetric spaces,” in Developments and Retrospectives in Lie Theory - Geometric and Analytic Methods, vol. 37, G. Mason, I. Penkov, and J. A. Wolf, Eds. Springer, 2014.
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2014 | Book Chapter | LibreCat-ID: 51465
J. Hilgert, M. Hoffmann, and A. Panse, “Schwierigkeiten von Studienanfängern, verschiedene Lehrmethoden und Fragen an die Didaktik,” in Beiträge zum Mathematikunterricht 2014, J. Roth and J. Ames, Eds. Münster: WTM Verlag, 2014.
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2014 | Preprint | LibreCat-ID: 51531
J. Hilgert, A. Pasquale, and T. Przebinda, “Resonances for the Laplacian on Riemannian symmetric spaces: the case of SL(3,R)/SO(3).” 2014.
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2013 | Journal Article | LibreCat-ID: 51395
J. Hilgert, M. Laubinger, and A. Alldridge, “Harmonic analysis on Heisenberg-Clifford Lie supergroups,” J. London Math. Soc., vol. 87, pp. 561–585, 2013.
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2013 | Preprint | LibreCat-ID: 51532
J. Hilgert and G. Ólafsson, “The Radon transform and its dual for limits of symmetric spaces.” 2013.
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2013 | Preprint | LibreCat-ID: 51533
J. Hilgert, A. Alldridge, and T. Wurzbacher, “Singular superspaces.” 2013.
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2013 | Book | LibreCat-ID: 51490
J. Hilgert, Arbeitsbuch Mathematik für das erste Studienjahr. Springer Spektrum, 2013.
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2013 | Book | LibreCat-ID: 51491
J. Hilgert, Lesebuch Mathematik für das erste Studienjahr. Springer Spektrum, 2013.
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2012 | Journal Article | LibreCat-ID: 51396
J. Hilgert, B. Orsted, J. Möllers, and T. Kobayashi, “Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups,” J. Funct. Anal., vol. 263, pp. 3492–3563, 2012.
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2012 | Journal Article | LibreCat-ID: 51397
J. Hilgert, W. Palzer, and A. Alldridge, “Integration on non-compact supermanifolds,” Journal of Geometry and Physics, vol. 62, pp. 427–448, 2012.
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2012 | Journal Article | LibreCat-ID: 51398
J. Hilgert, M. Schröder, and S. Hansen, “Patterson-Sullivan distributions in higher rank,” Math. Z., vol. 272, pp. 607–643, 2012.
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2012 | Preprint | LibreCat-ID: 51534
J. Hilgert, T. Kobayashi, J. Möllers, and B. Orsted, “Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups.” 2012.
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2012 | Book | LibreCat-ID: 51492
J. Hilgert and I. Hilgert, Mathematik - Ein Reiseführer. Springer Spektrum, 2012.
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2011 | Journal Article | LibreCat-ID: 51399
J. Hilgert, J. Möllers, G. Mano, and T. Kobayashi, “Orthogonal polynomials associated to a certain fourth order differential equation,” Ramanujan J., vol. 26, pp. 295–310, 2011.
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2011 | Journal Article | LibreCat-ID: 51400
J. Hilgert, J. Möllers, G. Mano, and T. Kobayashi, “Special functions associated to a certain fourth order differential equation,” Ramanujan J., vol. 26, pp. 1–34, 2011.
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2011 | Preprint | LibreCat-ID: 51535
J. Hilgert, T. Kobayashi, and J. Möllers, “Minimal representations via Bessel operators.” 2011.
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2011 | Preprint | LibreCat-ID: 51538
J. Hilgert, A. Alldridge, and M. Laubinger, “Harmonic analysis on Heisenberg--Clifford Lie supergroups.” 2011.
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2011 | Preprint | LibreCat-ID: 51537
J. Hilgert, S. Hansen, and M. Schröder, “Patterson--Sullivan distributions in higher rank.” 2011.
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2011 | Preprint | LibreCat-ID: 51536
J. Hilgert, A. Alldridge, and W. Palzer, “Integration on Non-Compact Supermanifolds.” 2011.
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2011 | Book | LibreCat-ID: 51494
J. Hilgert and K.-H. Neeb, An Introduction to the Structure and Geometry of Lie Groups. New York: Springer, 2011.
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2010 | Journal Article | LibreCat-ID: 51402
J. Hilgert, M. Zirnbauer, and A. Alldridge, “Chevalley’s Restriction Theorem for Reductive Symmetric Superpairs,” J. Algebra, vol. 323, pp. 1159–1185, 2010.
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2010 | Journal Article | LibreCat-ID: 51401
J. Hilgert and A. Alldridge, “Invariant Berezin integration on homogeneous supermanifolds,” J. Lie Theory, vol. 20, pp. 65–91, 2010.
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2009 | Journal Article | LibreCat-ID: 51404
J. Hilgert and A. Pasquale, “Resonances and Residue Operators for Symmetric Spaces of Rank One,” J. Math. Pures Appl., vol. 91, pp. 495–507, 2009.
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2009 | Journal Article | LibreCat-ID: 51403
J. Hilgert, S. Keliny, and S. Hansen, “Asymptotic K-support and Restrictions of Representations,” Representation Theory, vol. 13, pp. 460–469, 2009.
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2009 | Journal Article | LibreCat-ID: 51405
J. Hilgert and G. Zhang, “Segal-Bargmann and Weyl Transforms on Compact Groups,” Monatsh. Math., vol. 158, pp. 85–305, 2009.
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2009 | Book Chapter | LibreCat-ID: 51467
J. Hilgert and A. Pohl, “Symbolic Dynamics for the Geodesic Flow on Locally Symmetric Orbifolds of Rank One,” in Infinite Dimensional Harmonic Analysis IV, J. Hilgert and et al., Eds. Singapore: World Scientific, 2009.
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2009 | Preprint | LibreCat-ID: 51541
J. Hilgert, T. Kobayashi, G. Mano, and J. Möllers, “Orthogonal polynomials associated to a certain fourth order differential equation.” 2009.
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2009 | Preprint | LibreCat-ID: 51542
J. Hilgert, T. Kobayashi, G. Mano, and J. Möllers, “Special functions associated to a certain fourth order differential equation.” 2009.
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2009 | Preprint | LibreCat-ID: 51540
J. Hilgert and M. Schröder, “Patterson--Sullivan distributions for rank one symmetric spaces of the noncompact type.” 2009.
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2009 | Preprint | LibreCat-ID: 51539
J. Hilgert and A. Alldridge, “Invariant Berezin integration on homogeneous supermanifolds.” 2009.
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2009 | Preprint | LibreCat-ID: 51543
J. Hilgert, S. Hansen, and S. Keliny, “Asymptotic K-Support and Restrictions of Representations.” 2009.
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2009 | Book (Editor) | LibreCat-ID: 51590
J. Hilgert, A. Hora, T. Kawazoe, K. Nishiyama, and M. Voit, Eds., Infinite Dimensional Harmonic Analysis IV - On the Interplay between Representation Theory, Random Matrices, Special Functions, and Probability. World Scientific, 2009.
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2008 | Journal Article | LibreCat-ID: 51407
J. Hilgert and F. Rilke, “Meromorphic Continuation of Dynamical Zeta Functions via Transfer Operators,” J. Funct. Anal., vol. 254, pp. 476–505, 2008.
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2008 | Journal Article | LibreCat-ID: 51406
J. Hilgert, “Mayer’s Transfer Operator and Representations of SL(2),” Semigroup Forum, vol. 77, pp. 64–85, 2008.
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2008 | Preprint | LibreCat-ID: 51546
J. Hilgert and A. D. Pohl , “Symbolic dynamics for the geodesic flow on locally symmetric orbifolds of rank one.” 2008.
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2008 | Preprint | LibreCat-ID: 51544
J. Hilgert, A. Alldridge, and M. Zirnbauer, “Chevalley’s restriction theorem for reductive symmetric superpairs.” 2008.
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2008 | Preprint | LibreCat-ID: 51545
J. Hilgert, “Attractor Networks on Complex Flag Manifolds.” 2008.
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2008 | Book Review | LibreCat-ID: 51602
J. Hilgert, “Faraut, J. Analysis on Lie Groups (Cambridge University Press, 2008),” Math. Reviews. 2008.
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2007 | Journal Article | LibreCat-ID: 51408
J. Hilgert and A. Deitmar, “The Lewis Correspondence for Submodular Groups,” Forum Math., vol. 19, pp. 1075–1099, 2007.
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2007 | Preprint | LibreCat-ID: 51547
J. Hilgert and F. Rilke, “Meromorphic continuation of dynamical zeta functions via transfer operators.” 2007.
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2007 | Book Review | LibreCat-ID: 51601
J. Hilgert, “Wolf, J..A. Harmonic Analysis on Commutative Spaces (AMS, 2007),” Math. Reviews. 2007.
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2007 | Book Review | LibreCat-ID: 51600
J. Hilgert, “Procesi, C. Lie Groups (Springer, 2007),” JBer. DMV. 2007.
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2006 | Book Review | LibreCat-ID: 51577
J. Hilgert, “Adler, M., P. Moerbeke, P. Vanhaecke. Algebraic integrability, Painlevé geometry and Lie algebras (Springer, 2004),” JBer. DMV, vol. 108. 2006.
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2006 | Book Review | LibreCat-ID: 51599
J. Hilgert, “Stroppel, M. Topological groups (EMS, 2006),” Zentralblatt für Math. 2006.
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2005 | Book Chapter | LibreCat-ID: 51468
J. Hilgert, “An Ergodic Arnold-Liouville Theorem for Symmetric Spaces,” in Twenty Years of Bialowieza: A Mathematical Antology, S. T. Ali and et al., Eds. Singapore: World Scientific, 2005.
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2005 | Journal Article | LibreCat-ID: 51410
J. Hilgert, H. Movasati, and D. Mayer, “Transfer Operators for Gamma_0(n) and the Hecke Operators for the Period Functions of PSL(2,Z),” Math. Proc. Camb. Phil. Soc., vol. 139, pp. 81–116, 2005.
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2005 | Book Review | LibreCat-ID: 51578
J. Hilgert, “Dungey, N., A. ter Elst, D. Robinson. Analysis on Lie Groups with Polynomial Growth (Birkhäuser, Boston, 2003),” JBer. DMV, vol. 107. 2005.
LibreCat
2005 | Journal Article | LibreCat-ID: 51409
J. Hilgert and A. Deitmar, “Cohomology of Arithmetic Groups with Infinite Dimensional Coefficient Spaces,” Documanta Math., vol. 10, pp. 199–216, 2005.
LibreCat
2004 | Book Chapter | LibreCat-ID: 51469
J. Hilgert and D. Mayer, “The Dynamical Zeta Function and Transfer Operators for the Kac-Baker Model,” in Complex Analysis and Dynamical Systems, vol. 364, M. Agranowsky and et al., Eds. 2004.
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2003 | Journal Article | LibreCat-ID: 51411
J. Hilgert, E. B. Vinberg, and A. Pasquale, “The Dual Horospherical Radon Transform as a Limit of Spherical Radon Transforms,” AMS Translations, vol. 210, pp. 135–143, 2003.
LibreCat
2003 | Preprint | LibreCat-ID: 51550
J. Hilgert, D. Mayer, and H. Movasati, “Transfer operators for Γ0(n) and the Hecke operators for the period functions for PSL(2,Z).” 2003.
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2003 | Preprint | LibreCat-ID: 51549
J. Hilgert and A. Deitmar, “Cohomology of arithmetic groups with infinite dimensional coefficient spaces.” 2003.
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2002 | Book Chapter | LibreCat-ID: 51470
J. Hilgert, “Representation Theory of Lie Groups,” in Handbook on the Heart of Algebra, A. V. Mikhalev and G. F. Pilz, Eds. Dordrecht: Kluwer, 2002.
LibreCat
2002 | Book Chapter | LibreCat-ID: 51471
J. Hilgert, “Lie Groups,” in Handbook on the Heart of Algebra, A. V. Mikhalev and G. F. Pilz, Eds. Dordrecht: Kluwer, 2002.
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2002 | Journal Article | LibreCat-ID: 51412
J. Hilgert and D. Mayer, “Transfer Operators and Dynamical Zeta Functions for a Class of Lattice Spin Models,” Commun Math. Phys., vol. 232, pp. 19–58, 2002.
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2002 | Journal Article | LibreCat-ID: 51413
J. Hilgert, A. Pasquale, and E. B. Vinberg, “The Dual Horospherical Radon Transform for Polynomials,” Moscow Math. J., vol. 2, pp. 113–126, 2002.
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2002 | Book Review | LibreCat-ID: 51579
J. Hilgert, “Juhl, A. Cohomological Theory of Dynamical Zeta Functions (Birkhäuser, Boston, 2000),” JBer. DMV, vol. 104. 2002.
LibreCat
2002 | Book Review | LibreCat-ID: 51580
J. Hilgert, “Neeb, K.-H. Holomorphy and Convexity in Lie Theory (De Gruyter, Berlin, 2000),” Semigroup Forum, vol. 64. 2002.
LibreCat
2002 | Book (Editor) | LibreCat-ID: 51591
J. Hilgert, A. Strasburger, K.-H. Neeb, and W. Wojtynski, Eds., Geometry and Analysis on Finite- and Infinite-Dimensional Lie Groups. Banach Center Publications 55, 2002.
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2002 | Preprint | LibreCat-ID: 51551
J. Hilgert and D. Mayer, “Transfer operators and dynamical zeta functions for a class of lattice spin models.” 2002.
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2001 | Preprint | LibreCat-ID: 51552
J. Hilgert and D. Mayer, “The dynamical zeta function and transfer operators for the Kac-Baker model.” 2001.
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2001 | Journal Article | LibreCat-ID: 51417
J. Hilgert and W. Bertram, “Characterization of the Kantor-Koecher-Tits Algebra by a Generalized Ahlfors Operator,” J. Lie Theory, vol. 11, pp. 415–426, 2001.
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2001 | Journal Article | LibreCat-ID: 51416
J. Hilgert and K.-H. Neeb, “Vector Valued Riesz Distributions on Euclidian Jordan Algebras,” J. Geometric Analysis, vol. 11, pp. 43–75, 2001.
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2001 | Journal Article | LibreCat-ID: 51414
J. Hilgert and W. Bertram, “Geometry of Symmetric Spaces via Jordan Structures. Bull. Transsilv,” Univ. Brasov Ser., vol. 8, pp. 7–18, 2001.
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2001 | Journal Article | LibreCat-ID: 51418
J. Hilgert and B. Krötz, “The Plancherel Theorem for Invariant Hilbert Spaces,” Math. Zeitschrift, vol. 237, pp. 61–83, 2001.
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2001 | Preprint | LibreCat-ID: 51553
J. Hilgert, A. Pasquale, and E. B. Vinberg, “The dual horospherical Radon transform for polynomials.” 2001.
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2001 | Book Review | LibreCat-ID: 51598
J. Hilgert, “Berenstein, C., D.-C. Chang, J. Tie. Laguerre Calculus and its Applications on the Heisenberg Group (AMS, International Press, 2001),” Math. Reviews. 2001.
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2000 | Journal Article | LibreCat-ID: 51419
J. Hilgert and W. Bertram, “Geometric Hardy and Bergman Spaces,” Michigan Math. J., vol. 47, pp. 235–263, 2000.
LibreCat
2000 | Book (Editor) | LibreCat-ID: 51592
J. Hilgert, H.-D. Doebner, and V. K. Dobrev, Eds., Lie Theory and its Applcations in Physics III. World Scientific, 2000.
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1999 | Journal Article | LibreCat-ID: 51422
J. Hilgert and B. Krötz, “Representations, Characters, and Spherical Functions Associated to Causal Symmetric Spaces,” J. Funct. Anal., vol. 169, pp. 357–390, 1999.
LibreCat
1999 | Book Review | LibreCat-ID: 51581
J. Hilgert, “Guillemin, V., E. Lerman, S. Sternberg. Symplectic fibration and Multiplicity Diagrams (Cambridge University Press, 1996),” JBer. DMV, vol. 101. 1999.
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1999 | Journal Article | LibreCat-ID: 51424
J. Hilgert, A. Neumann , and G. Ólafsson, “A Conjugacy Theorem for Symmetric Spaces,” Math. Annalen, vol. 313, pp. 785–791, 1999.
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1999 | Journal Article | LibreCat-ID: 51423
J. Hilgert and B. Krötz, “Weighted Bergman Spaces Associated to Causal Symmetric Spaces,” Manus. Math., vol. 99, pp. 151–180, 1999.
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1999 | Journal Article | LibreCat-ID: 51421
J. Hilgert and K.-H. Neeb, “Positive Definite Spherical Functions on Olshanskii Domains,” Trans. AMS., vol. 352, pp. 1345–1380, 1999.
LibreCat
1998 | Book Chapter | LibreCat-ID: 51477
J. Hilgert and K.-H. Neeb, “Invariant Cones in Real Representations,” in Positivity in Lie Theory: Open Problems, J. Hilgert, J. D. Lawson, K.-H. Neeb, and E. B. Vinberg, Eds. Berlin: De Gruyter, 1998.
LibreCat
1998 | Book Chapter | LibreCat-ID: 51475
J. Hilgert and W. Bertram, “Reproducing Kernels on Vector Bundles,” in Lie Theory and its Applications in Physics, H. D. Doebner, V. Dobrev, and J. Hilgert, Eds. Singapore: World Scientific, 1998.
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1998 | Journal Article | LibreCat-ID: 51425
J. Hilgert and W. Bertram, “Hardy Spaces and Analytic Continuation of Bergman Spaces,” Bull. Math. Soc. Francaise, vol. 126, pp. 435–482, 1998.
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1998 | Journal Article | LibreCat-ID: 51426
J. Hilgert and K.-H. Neeb, “Poisson Lie Groups and Non-Linear Convexity Theorems,” Math. Nachr., vol. 191, pp. 153–187, 1998.
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1998 | Book (Editor) | LibreCat-ID: 51594
J. Hilgert, H.-D. Doebner, and V. K. Dobrev, Eds., Lie Theory and its Applcations in Physics II. World Scientific, 1998.
LibreCat
1998 | Book (Editor) | LibreCat-ID: 51593
J. Hilgert, J. D. Lawson, K.-H. Neeb, and E. B. Vinberg, Eds., Positivity in Lie Theory. De Gruyter, , 1998.
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1997 | Journal Article | LibreCat-ID: 51427
J. Hilgert, “Singular Unitary Highest Weight Representations via Geometric Quantization,” Reports on Math. Physics, vol. 40, pp. 209–215, 1997.
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1997 | Book Review | LibreCat-ID: 51582
J. Hilgert, “Vaisman, I. Lectures on the Geometry of Poisson Manifolds (Birkhäuser, Boston, 1994),” JBer. DMV, vol. 99. 1997.
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1997 | Book | LibreCat-ID: 51495
J. Hilgert and G. Ólafsson, Causal Symmetric Spaces, Geometry and Harmonic Analysis. San Diego: Academic Press, 1997.
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1996 | Journal Article | LibreCat-ID: 51429
J. Hilgert, K.-H. Neeb, and B. Orsted, “Unitary Highest Weight Representations via the Orbit Method I: The Scalar Case,” Acta Appl.. Math., vol. 44, pp. 151–184, 1996.
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1996 | Journal Article | LibreCat-ID: 51430
J. Hilgert, K.-H. Neeb, and B. Orsted, “Conal Heisenberg Algebras and Associated Hilbert Spaces,” J. reine angew. Math., vol. 474, pp. 67–112, 1996.
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1996 | Journal Article | LibreCat-ID: 51431
J. Hilgert and K.-H. Neeb, “Orthogonal Lie Algrebras with Cone Potential,” Commun. in Alg., vol. 24, pp. 433–444, 1996.
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1996 | Journal Article | LibreCat-ID: 51428
J. Hilgert and K.-H. Neeb, “Spherical Functions on Olshanskii Spaces,” J. Funct. Anal., vol. 142, pp. 446–493, 1996.
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1996 | Book Review | LibreCat-ID: 51597
J. Hilgert, “Knapp, A.W. Lie Groups Beyond an Introduction (Birkhäuser, Boston, 1996),” Zentralblatt für Math. 1996.
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1995 | Book Chapter | LibreCat-ID: 51479
J. Hilgert, “The Halfspace Method for Causal Structures on Homogeneous Manifolds,” in Semigroups in Algebra, Geometry and Analysis, K. H. Hofmann, J. D. Lawson, and E. B. Vinberg, Eds. Berlin: De Gruyter, 1995.
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1995 | Book Review | LibreCat-ID: 51583
J. Hilgert, “Woodhouse, N.M.J. Geometric Quantization (Clarendon Press, 1992),” JBer. DMV, vol. 97. 1995.
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1995 | Book (Editor) | LibreCat-ID: 51595
J. Hilgert, H.-D. Doebner, and V. K. Dobrev, Eds., Lie Theory and its Applcations in Physics. World Scientific, 1995.
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1995 | Book Chapter | LibreCat-ID: 51478
J. Hilgert and K.-H. Neeb, “Symplectic Convexity Theorems, Lie Semigroups, and Unitary Representations,” in Semigroups in Algebra, Geometry and Analysis, K. H. Hofmann, J. D. Lawson, and E. B. Vinberg, Eds. Berlin: De Gruyter, 1995.
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1995 | Journal Article | LibreCat-ID: 51436
J. Hilgert and K.-H. Neeb, “Compression Semigroups of Open Orbits on Real Flag Manifolds,” Monatshefte Math., vol. 119, pp. 187–214, 1995.
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1995 | Journal Article | LibreCat-ID: 51432
J. Hilgert and K.-H. Neeb, “Compression Semigroups of Open Orbits in Complex Manifolds,” Arkiv för mat., vol. 33, pp. 293–322, 1995.
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1995 | Journal Article | LibreCat-ID: 51435
J. Hilgert and K.-H. Neeb, “Groupoid C*-Algebras of Order Compactified Symmetric Spaces,” Japan. J. Math., vol. 21, pp. 117–188, 1995.
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1995 | Journal Article | LibreCat-ID: 51433
J. Hilgert and K.-H. Neeb, “Wiener-Hopf Operators on Ordered Homogeneous Spaces,” J. Funct. Anal., vol. 132, pp. 86–118, 1995.
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1995 | Journal Article | LibreCat-ID: 51434
J. Hilgert, “Streitfragen der Mathematik in Forschung und Lehre,” mathematica didactica, vol. 18, pp. 93–108, 1995.
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1995 | Journal Article | LibreCat-ID: 51437
J. Hilgert and K.-H. Neeb, “Maximality of Compression Semigroups,” Semigroup Forum, vol. 50, pp. 205–222, 1995.
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1994 | Book Chapter | LibreCat-ID: 51481
J. Hilgert and K.-H. Neeb, “Poisson Lie Groups and Non-LInear Convexity Theorems,” in Generalized Symmetries in Physics, H. D. Doebner and et al., Eds. Singapore: World Scientifi, 1994.
LibreCat
1994 | Book Chapter | LibreCat-ID: 51482
J. Hilgert, “Radon Transform on Halfplanes via Group Theory,” in Non-Compact Lie Groups and some of their Applcations, vol. 249, E. A. Tanner and R. Wilson, Eds. Dordrecht: KLuwer, 1994.
LibreCat
1994 | Book Chapter | LibreCat-ID: 51480
J. Hilgert and K.-H. Neeb, “A General Setting for Wiener-Hopf Operators,” in 75 Years of Radon Transform, S. G. Gindikin and P. Michor, Eds. Boston: International Press, 1994.
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1994 | Journal Article | LibreCat-ID: 51438
J. Hilgert, K.-H. Neeb, and B. Orsted, “The Geometry of Nilpotent Coadjoint Orbits of Convex Type in Hermitian Lie Algebras,” J. Lie Theory, vol. 4, pp. 47–97, 1994.
LibreCat
1994 | Journal Article | LibreCat-ID: 51439
J. Hilgert, J. Faraut, and G. Ólafsson, “Spherical Functions on Ordered Symmetric Spaces,” Ann. Inst. Fourier, vol. 44, pp. 927–965, 1994.
LibreCat
1994 | Journal Article | LibreCat-ID: 51440
J. Hilgert, K.-H. Neeb, and W. Plank, “Symplectic Convexity Theorems and Coadjoint Orbits,” Compositio Math., vol. 94, pp. 129–180, 1994.
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1994 | Journal Article | LibreCat-ID: 51441
J. Hilgert, “A Convexity Theorems for Boundaries of Ordered Symmetric Spaces,” Canad. J. Math., vol. 46, pp. 746–757, 1994.
LibreCat
1994 | Book Review | LibreCat-ID: 51596
J. Hilgert, “Leptin, H. und J. Ludwig. Unitary Representation Theory of Exponential Lie Groups (De Gruyter, Berlin, 1994),” Zentralblatt für Math. 1994.
LibreCat
1993 | Book Review | LibreCat-ID: 51584
J. Hilgert, “Corwin, L. und F.P. Greenleaf. Representations of Nilpotent Lie Groups and their Applications. (Cambridge University Press, 1990),” JBer. DMV, vol. 95. 1993.
LibreCat
1993 | Book | LibreCat-ID: 51496
J. Hilgert and K.-H. Neeb, Lie Semigroups and their Applications, vol. 1552. Springer, 1993.
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1992 | Book Review | LibreCat-ID: 51585
J. Hilgert, “Fomenko, A.T. Symplectic Geometry (Gordon and Breach, 1988),” JBer. DMV, vol. 94. 1992.
LibreCat
1992 | Journal Article | LibreCat-ID: 51442
J. Hilgert and G. Ólafsson, “Analytic Extensions of Representations, the Solvable Case,” Japan. J. Math., vol. 18, pp. 213–290, 1992.
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1992 | Journal Article | LibreCat-ID: 51443
J. Hilgert, “Controllability on Real Reductive Groups,” Math. Zeitschrift, vol. 209, pp. 463–466, 1992.
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1991 | Book Review | LibreCat-ID: 51588
J. Hilgert, “Varadarajan, V.S. An Introduction to Harmonic Analysis on Semisimple Lie Groups (Cambridge University Press, 1989),” JBer. DMV, vol. 94, no. 4. 1991.
LibreCat
1991 | Book Review | LibreCat-ID: 51589
J. Hilgert, “Terras, A. Harmonic Analysis on Symmetric Spaces I and II (Springer, New York, 1985 und 1988),” JBer. DMV, vol. 93, no. 2. 1991.
LibreCat
1991 | Journal Article | LibreCat-ID: 51445
J. Hilgert, G. Ólafsson, and B. Orsted, “Hardy Spaces on Affine Symmetric Spaces,” J. reine und angew. Math., vol. 415, pp. 189–218, 1991.
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1991 | Book Chapter | LibreCat-ID: 51483
J. Hilgert, “Group Theoretical Aspects of Gödels Model,” in Jahrbuch der Gödel Gesellschaft, J. Hilgert, Ed. Wien, 1991.
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1991 | Journal Article | LibreCat-ID: 51444
J. Hilgert, “Infinitesimally Generated Subsemigroups of Motion Groups,” Rocky Mount. J. Math., vol. 21, pp. 865–878, 1991.
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1991 | Book Review | LibreCat-ID: 51586
J. Hilgert, “Onishchik, A.L., und E.B. Vinberg. Lie Groups and Algebraic Groups (Springer, New York, 1990),” Zentralblatt, vol. 722. 1991.
LibreCat
1991 | Book | LibreCat-ID: 51497
J. Hilgert and K.-H. Neeb, Lie-Gruppen und Lie-Algebren. Wiesbaden: Vieweg Verlag, 1991.
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1990 | Book Chapter | LibreCat-ID: 51484
J. Hilgert, “Applications of Lie Semigroups in Analysis,” in The Analytical and Topological Theory of Semigroups, K. H. Hofmann and et al., Eds. Berlin: De Gruyter, 1990.
LibreCat
1990 | Journal Article | LibreCat-ID: 51446
J. Hilgert and K. H. Hofmann, “On the Causal Structure of Homogeneous Manifolds,” Math. Scand., vol. 67, pp. 119–144, 1990.
LibreCat
1989 | Journal Article | LibreCat-ID: 51448
J. Hilgert and K. H. Hofmann, “Compactly Embedded Cartan Algebras and Invariant Cones in Lie Algebras,” Advances Math., vol. 75, pp. 168–201, 1989.
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1989 | Journal Article | LibreCat-ID: 51447
J. Hilgert, “A Note on Howe’s Oscillator Semigroup,” Ann. Inst. Fourier, vol. 39, pp. 663–688, 1989.
LibreCat
1989 | Book | LibreCat-ID: 51498
J. Hilgert, J. Lawson, and K. H. Hofmann, Lie Groups, Convex Cones, and Semigroups. Oxford: Oxford University Press, 1989.
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1988 | Book Chapter | LibreCat-ID: 51485
J. Hilgert, “Spectrally Ordered Lie Algebras,” in Group Theoretical Methods in Physics, vol. 313, H. D. Doebner and et al., Eds. New York: Springer, 1988.
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1988 | Journal Article | LibreCat-ID: 51449
J. Hilgert, “Invariant Lorentzian Orders on Simply Connected Lie Groups,” Arkiv för mat., vol. 26, pp. 107–115, 1988.
LibreCat
1988 | Journal Article | LibreCat-ID: 51450
J. Hilgert and K. H. Hofmann, “Classification of Invariant Cones in Real Lie Algebras,” Bull. AMS, vol. 11, pp. 441–446, 1988.
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1988 | Journal Article | LibreCat-ID: 51451
J. Hilgert and K. H. Hofmann, “Invariant Cones in Lie Algebras,” Semigroup Forum 37l. Semigroup Forum, pp. 241–252, 1988.
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1987 | Book Chapter | LibreCat-ID: 51486
J. Hilgert, “Maximal Semigroups and the Support of Gauss-Semigroups,” in Probability and Baysian Statistics, R. Viertl, Ed. New York: Plenum Press, 1987.
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1987 | Journal Article | LibreCat-ID: 51452
J. Hilgert, “Maximal Semigroups and Controllability in Products of Lie Groups,” Archiv Math., vol. 49, pp. 189–195, 1987.
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1986 | Book Chapter | LibreCat-ID: 51487
J. Hilgert and K. H. Hofmann, “Invariant Cones in Real Lie Algebras,” in Aspects of Positivity in Functional Analysis, R. Nagel and et al., Eds. North Holland, 1986.
LibreCat
1986 | Journal Article | LibreCat-ID: 51454
J. Hilgert, “The Mayer-Vietoris and the Puppe Sequence in K-Theory for C*-algebras,” Studia Math., vol. 83, pp. 97–104, 1986.
LibreCat
1986 | Journal Article | LibreCat-ID: 51453
J. Hilgert and K. H. Hofmann, “On the Automorphism Group of Cones and Wedges,” Geom. Dedicata, vol. 21, pp. 205–217, 1986.
LibreCat
1986 | Journal Article | LibreCat-ID: 51455
J. Hilgert and K. H. Hofmann, “On Sophus Lie’s Fundamental Theorem,” J. Funct. Anal., vol. 67, pp. 1–27, 1986.
LibreCat
1985 | Journal Article | LibreCat-ID: 51456
J. Hilgert, K. H. Hofmann, and J. D. Lawson, “Controllabilty of Systems on Nilpotent Lie Groups,” Beiträge Alg. Geom., vol. 20, pp. 185–190, 1985.
LibreCat
1985 | Journal Article | LibreCat-ID: 51458
J. Hilgert and K. H. Hofmann, “Semigroups in Lie Groups, Semialgebras in Lie Algebras,” Trans. AMS, vol. 288, pp. 481–504, 1985.
LibreCat
1985 | Journal Article | LibreCat-ID: 51457
J. Hilgert and K. H. Hofmann, “Lorentzian Cones in Real Lie Algebras,” Monatshefte Math., vol. 100, pp. 183–210, 1985.
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1985 | Journal Article | LibreCat-ID: 51460
J. Hilgert and K. H. Hofmann, “Lie Semialgebras are Real Phenomena,” Math. Ann., vol. 270, pp. 97–103, 1985.
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1985 | Journal Article | LibreCat-ID: 51459
J. Hilgert and K. H. Hofmann, “Old and New on SL(2),” Manuscripta Math., vol. 54, pp. 17–52, 1985.
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1984 | Journal Article | LibreCat-ID: 51461
J. Hilgert and K. H. Hofmann, “Lie Theory of Semigroups,” Semigroup Forum, vol. 30, pp. 243–251, 1984.
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200 Publications
2025 | Journal Article | LibreCat-ID: 58402
T. Baier, A. C. Ferreira, J. Hilgert, J. M. Mourão, and J. P. Nunes, “Fibering polarizations and Mabuchi rays on symmetric spaces of compact type,” Analysis and Mathematical Physics, vol. 15, no. 1, Art. no. 21, 2025, doi: 10.1007/s13324-025-01012-6.
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| DOI
2025 | Book Chapter | LibreCat-ID: 58587
J. Hilgert, “Quantum-Classical Correspondences for Locally Symmetric Spaces,” in Symmetry in Geometry and Analysis, Volume 2, 2025.
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| DOI
| Download (ext.)
2025 | Journal Article | LibreCat-ID: 59344
C. Arends, J. Frahm, and J. Hilgert, “Edge Laplacians and Edge Poisson Transforms for Graphs,” Potential Analysis, 2025, doi: 10.1007/s11118-024-10184-y.
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| DOI
2025 | Journal Article | LibreCat-ID: 59343
C. Arends, J. Frahm, and J. Hilgert, “A pairing formula for resonant states on finite regular graphs,” Mathematische Annalen, 2025, doi: 10.1007/s00208-025-03140-7.
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| DOI
2024 | Journal Article | LibreCat-ID: 32101 |

T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, and J. Hilgert, “Ruelle-Taylor resonances of Anosov actions,” J. Europ. Math. Soc., pp. 1–36, 2024.
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| Files available
2024 | Journal Article | LibreCat-ID: 57498
T. Baier, J. Hilgert, O. Kaya, J. M. Mourão, and J. P. Nunes, “Quantization in fibering polarizations, Mabuchi rays and geometric Peter–Weyl theorem,” Journal of Geometry and Physics, vol. 207, Art. no. 105355, 2024, doi: 10.1016/j.geomphys.2024.105355.
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| DOI
2024 | Journal Article | LibreCat-ID: 58103
K.-U. Bux, J. Hilgert, and T. Weich, “Spectral correspondences for finite graphs without dead ends,” Indagationes Mathematicae, vol. 36, no. 1, pp. 188–217, 2024, doi: 10.1016/j.indag.2024.05.001.
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| DOI
2023 | Journal Article | LibreCat-ID: 31210
C. Arends and J. Hilgert, “Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters,” Journal de l’École polytechnique — Mathématiques, vol. 10, pp. 335–403, 2023, doi: 10.5802/jep.220.
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| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 34793
H. Glöckner and J. Hilgert, “Aspects of control theory on infinite-dimensional Lie groups and G-manifolds,” Journal of Differential Equations, vol. 343, pp. 186–232, 2023, doi: 10.1016/j.jde.2022.10.001.
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| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 35322
K.-U. Bux, J. Hilgert, and T. Weich, “Poisson transforms for trees of bounded degree,” Journal of Spectral Theory, vol. 12, no. 2, pp. 659–681, 2022, doi: 10.4171/jst/414.
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| DOI
2022 | Book Review | LibreCat-ID: 51554
J. Hilgert, “Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021,” Mathematische Semesterberichte, vol. 69. pp. 151–153, 2022, doi: 10.1007/s00591-021-00314-7.
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| DOI
2021 | Journal Article | LibreCat-ID: 31263
C. Guillarmou, J. Hilgert, and T. Weich, “High frequency limits for invariant Ruelle densities,” Annales Henri Lebesgue, vol. 4, pp. 81–119, 2021, doi: 10.5802/ahl.67.
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| DOI
| arXiv
2021 | Journal Article | LibreCat-ID: 36271
D. Brennecken, J. Hilgert, and L. Ciardo, “Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R),” Journal of Lie Theory, vol. 31, no. 2, pp. 459--468, 2021, doi: 10.48550/arXiv.2008.07479.
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| DOI
2021 | Book Review | LibreCat-ID: 51556
J. Hilgert, “Philip Ording: 99 Variations on a Proof. Princeton University Press 2019,” Mathematische Semesterberichte, vol. 68. pp. 171–173, 2021, doi: 10.1007/s00591-021-00295-7.
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| DOI
2021 | Book Review | LibreCat-ID: 51555
J. Hilgert, “Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020,” Mathematische Semesterberichte, vol. 68. pp. 175–177, 2021, doi: 10.1007/s00591-021-00296-6.
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| DOI
2021 | Journal Article | LibreCat-ID: 35702
M. Schürmann et al., “Consultation Phases in Mathematics Learning and Support Centres,” International Journal of Research in Undergraduate Mathematics Education, vol. 8, no. 1, pp. 94–120, 2021, doi: 10.1007/s40753-021-00154-9.
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| DOI
2021 | Book | LibreCat-ID: 51493
J. Hilgert and I. Hilgert, Mathematik - Ein Reiseführer 2. Auflage. Springer Spektrum, 2021.
LibreCat
2020 | Journal Article | LibreCat-ID: 51386
J. Hilgert and H. Barnum, “Spectral Properties of Convex Bodies,” J. of Lie Theory, vol. 30, pp. 315–344, 2020.
LibreCat
2020 | Book Review | LibreCat-ID: 51559
J. Hilgert, “Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019,” Mathematische Semesterberichte, vol. 67. pp. 301–305, 2020, doi: 10.1007/s00591-020-00282-4.
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| DOI
2020 | Book Review | LibreCat-ID: 51557
J. Hilgert, “Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020,” Mathematische Semesterberichte, vol. 67. pp. 307–309, 2020, doi: 10.1007/s00591-020-00283-3.
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| DOI
2020 | Book Review | LibreCat-ID: 51561
J. Hilgert, “Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019,” Mathematische Semesterberichte, vol. 67. pp. 123–124, 2020, doi: 10.1007/s00591-020-00272-6.
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| DOI
2020 | Book Review | LibreCat-ID: 51560
J. Hilgert, “David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019,” Mathematische Semesterberichte, vol. 67. pp. 297–299, 2020, doi: 10.1007/s00591-020-00280-6.
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| DOI
2020 | Book Review | LibreCat-ID: 51564
J. Hilgert, “Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017),” Mathematische Semesterberichte, vol. 67. pp. 97–98, 2020, doi: 10.1007/s00591-019-00254-3.
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| DOI
2020 | Book | LibreCat-ID: 51488
J. Hilgert, Mathematik studieren -- Ein Ratgeber für Erstsemester und solche, die es vielleicht werden wollen. Springer Spektrum, 2020.
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2019 | Journal Article | LibreCat-ID: 51387
J. Hilgert, A. Parthasarathy, and S. Hansen, “Resonances and Scattering Poles in Symmetric Spaces of Rank One,” Inter. Math. Research Notices, vol. 20, pp. 6362–6389, 2019.
LibreCat
2019 | Book Review | LibreCat-ID: 51568
J. Hilgert, “Lizhen Ji und Athanase Papadopoulos (Hrsg.): Sophus Lie and Felix Klein: The Erlangen Program and Its Impact in Mathematics and Physics. European Mathematical Society 2015,” Mathematische Semesterberichte, vol. 66. pp. 247–249, 2019, doi: 10.1007/s00591-018-0233-8.
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| DOI
2019 | Book Review | LibreCat-ID: 51566
J. Hilgert, “Brian W. Kernighan: Millions billions zillions – defending yourself in a world of too many numbers. Princeton University Press 2018,” Mathematische Semesterberichte, vol. 66. pp. 261–262, 2019, doi: 10.1007/s00591-019-00251-6.
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| DOI
2019 | Book Review | LibreCat-ID: 51567
J. Hilgert, “Joseph Honerkamp: Denken in Strukturen und seine Geschichte – Von der Kraft des mathematischen Beweises (Springer 2018),” Mathematische Semesterberichte , vol. 66. pp. 257–258, 2019, doi: 10.1007/s00591-018-0234-7.
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| DOI
2019 | Book Review | LibreCat-ID: 51569
J. Hilgert, “Øystein Linnebo: Philosophy of Mathematics (Princeton University Press 2017),” Mathematische Semesterberichte, vol. 66. pp. 127–129, 2019, doi: 10.1007/s00591-018-0226-7.
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| DOI
2019 | Book Review | LibreCat-ID: 51565
J. Hilgert, “Jost-Hinrich Eschenburg: Sternstunden der Mathematik. Springer 2017,” Mathematische Semesterberichte, vol. 66. pp. 263–264, 2019, doi: 10.1007/s00591-019-00247-2.
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| DOI
2018 | Journal Article | LibreCat-ID: 51388
J. Hilgert, T. Wurzbacher, and A. Alldridge, “Superorbits,” Journal of the Institute of Mathematics of Jussieu, vol. 17, pp. 1065–1120, 2018, doi: 10.1017/S147474801600030X.
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2018 | Book Chapter | LibreCat-ID: 51462
J. Hilgert, “Von Fermat und Descartes zu Gauß und Cauchy - Der Wandel der Mathematik in der Zeit der Aufklärung,” in Erscheinung und Vernunft - Wirklichkeitszugänge der Aufklärung, T. Nieland, Ed. Berlin: Frank&Timme, 2018.
LibreCat
2018 | Preprint | LibreCat-ID: 51523 |

J. Hilgert, S. Hansen, and A. Parthasarathy, “Boundary Values of Eigenfunctions on Riemannian Symmetric Spaces.” 2018.
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2018 | Book Review | LibreCat-ID: 51571
J. Hilgert, “Winfried Scharlau: Das Glück, Mathematiker zu sein – Friedrich Hirzebruch und seine Zeit (Springer Spektrum 2017),” Mathematische Semesterberichte, vol. 65. pp. 307–309, 2018.
LibreCat
2018 | Book Review | LibreCat-ID: 51572
J. Hilgert, “Lemmermeyer, F: Quadratische Zahlkörper – Eine Einführung mit vielen Beispielen (Springer Spektrum 2017),” Mathematische Semesterberichte, vol. 65. pp. 129–131, 2018.
LibreCat
2018 | Book Review | LibreCat-ID: 51570
J. Hilgert, “Barry Mazur und William Stein: Prime Numbers and the Riemann Hypothesis,” Mathematische Semesterberichte, vol. 65. pp. 311–313, 2018.
LibreCat
2018 | Book Review | LibreCat-ID: 51574
J. Hilgert, “Joseph, G.G. Indian Mathematics. Engaging with the World from Ancient to Modern Times (World Scientific 2016),” Mathematische Semesterberichte, vol. 65. pp. 121–123, 2018.
LibreCat
2018 | Book Review | LibreCat-ID: 51573
J. Hilgert, “Diaconis, P., B. Skyrms: Ten great ideas about chance (Princeton University Press 2018),” Mathematische Semesterberichte, vol. 65. pp. 125–127, 2018.
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2017 | Journal Article | LibreCat-ID: 31267
C. Guillarmou, J. Hilgert, and T. Weich, “Classical and quantum resonances for hyperbolic surfaces,” Mathematische Annalen, vol. 370, no. 3–4, pp. 1231–1275, 2017, doi: 10.1007/s00208-017-1576-5.
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2017 | Journal Article | LibreCat-ID: 51390
J. Hilgert, T. Przebinda, and A. Pasquale, “Resonances for the Laplacian on Riemannian symmetric spaces: the case of SL(3,R)/SO(3),” Representation Theory, vol. 21, pp. 416–457, 2017, doi: 10.1090/ert/506.
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2017 | Journal Article | LibreCat-ID: 51392
J. Hilgert, J. Martens, and Ch. Manon, “Contraction of Hamiltonian K-spaces,” Inter. Math. Research Notices, vol. 20, pp. 6255–6309, 2017, doi: 10.1093/imrn/rnw191.
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| DOI
2017 | Journal Article | LibreCat-ID: 51391
J. Hilgert, T. Przebinda, and A. Pasquale, “Resonances for the Laplacian of products of two rank one Riemannian symmetric spaces,” J. Funct. Anal., vol. 272, pp. 1477–1523, 2017.
LibreCat
2017 | Book Review | LibreCat-ID: 51576
J. Hilgert, “Pitici, M. (Ed). The Best Writing on Mathematics 2016 (Princeton University Press, 2017),” Mathematische Semesterberichte, vol. 64. pp. 253–254, 2017.
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2017 | Book Review | LibreCat-ID: 51575
J. Hilgert, “Devlin, K. Finding Fibonacci. The Quest to Rediscover the Forgotten Mathematical Genius Who Changed the World (Princeton University Press, 2017),” Mathematische Semesterberichte, vol. 64. pp. 245–247, 2017.
LibreCat
2016 | Book Chapter | LibreCat-ID: 51464
J. Hilgert, “Schwierigkeiten beim Übergang von Schule zu Hochschule im zeitlichen Vergleich - Ein Blick auf Defizite beim Erwerb von Schlüsselkompetenzen,” in Lehren und Lernen von Mathematik in der Studieneingangsphase, A. Hoppenbrock and et al., Eds. Springer Spektrum, 2016.
LibreCat
2016 | Book Chapter | LibreCat-ID: 51463
J. Hilgert, A. Pasquale, and T. Przebinda, “Resonances for the Laplacian: the cases BC2 and C2 (except SO(p,2) with p>2 odd),” in Geometric Methods in Physics, P. Kielanowski and et al., Eds. Birkhäuser, 2016.
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2016 | Book | LibreCat-ID: 51489
J. Hilgert, Mathematische Strukturen. Springer Spektrum, 2016.
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2015 | Conference Paper | LibreCat-ID: 31368
J. Hilgert, M. Hoffmann, and A. Panse, “Kann professorale Lehre tutoriell sein? Ein Modellversuch zur Einführung in mathematisches Denken und Arbeiten,” in Tagungsband zum Hansekolloquium zur Hochschuldidaktik der Mathematik., 2015, pp. 23–26.
LibreCat
2015 | Book | LibreCat-ID: 31373
J. Hilgert, M. Hoffmann, and A. Panse, Einführung in mathematisches Denken und Arbeiten: tutoriell und transparent. Berlin, Heidelberg: Springer, 2015.
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2015 | Preprint | LibreCat-ID: 51526
J. Hilgert, A. Pasquale, and T. Przebinda, “Resonances for the Laplacian: the cases BC2 and C2 (except over SOo(p,2), p>0 odd).” 2015.
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2015 | Preprint | LibreCat-ID: 51527
J. Hilgert, C. Manon, and J. Martens, “Contraction of Hamiltonian K-spaces.” 2015.
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2015 | Preprint | LibreCat-ID: 51529
J. Hilgert, A. Pasquale, and T. Przebinda, “Resonances for the Laplacian of products of two rank one Riemannian symmetric spaces.” 2015.
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2015 | Preprint | LibreCat-ID: 51530
J. Hilgert, A. Alldridge, and T. Wurzbacher, “Superorbits.” 2015.
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2015 | Preprint | LibreCat-ID: 51528
J. Hilgert, A. Pasquale, and T. Przebinda, “Resonances for the Laplacian of products of two rank one Riemannian symmetric spaces.” 2015.
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2014 | Conference Paper | LibreCat-ID: 31369 |

A. Panse, J. Hilgert, and M. Hoffmann, “Handlungsbedarf in fachmathematischen Veranstaltungen? – Spezielle Maßnahmen an der Universität Paderborn,” in Beiträge zum Mathematikunterricht 2014, 2014, pp. 883–886, doi: 10.17877/DE290R-15591.
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2014 | Journal Article | LibreCat-ID: 51394
J. Hilgert, J. Möllers, and T. Kobayashi, “Minimal representations via Bessel operators,” J. Math. Soc. Japan, vol. 66, pp. 349–414, 2014.
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2014 | Journal Article | LibreCat-ID: 51393
J. Hilgert, T. Wurzbacher, and A. Alldridge, “Singular superspaces,” Math. Z., vol. 278, pp. 441–492, 2014.
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2014 | Book Chapter | LibreCat-ID: 51466
J. Hilgert and G. Ólafsson, “The Radon transform and its dual for limits of symmetric spaces,” in Developments and Retrospectives in Lie Theory - Geometric and Analytic Methods, vol. 37, G. Mason, I. Penkov, and J. A. Wolf, Eds. Springer, 2014.
LibreCat
2014 | Book Chapter | LibreCat-ID: 51465
J. Hilgert, M. Hoffmann, and A. Panse, “Schwierigkeiten von Studienanfängern, verschiedene Lehrmethoden und Fragen an die Didaktik,” in Beiträge zum Mathematikunterricht 2014, J. Roth and J. Ames, Eds. Münster: WTM Verlag, 2014.
LibreCat
2014 | Preprint | LibreCat-ID: 51531
J. Hilgert, A. Pasquale, and T. Przebinda, “Resonances for the Laplacian on Riemannian symmetric spaces: the case of SL(3,R)/SO(3).” 2014.
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2013 | Journal Article | LibreCat-ID: 51395
J. Hilgert, M. Laubinger, and A. Alldridge, “Harmonic analysis on Heisenberg-Clifford Lie supergroups,” J. London Math. Soc., vol. 87, pp. 561–585, 2013.
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2013 | Preprint | LibreCat-ID: 51532
J. Hilgert and G. Ólafsson, “The Radon transform and its dual for limits of symmetric spaces.” 2013.
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2013 | Preprint | LibreCat-ID: 51533
J. Hilgert, A. Alldridge, and T. Wurzbacher, “Singular superspaces.” 2013.
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2013 | Book | LibreCat-ID: 51490
J. Hilgert, Arbeitsbuch Mathematik für das erste Studienjahr. Springer Spektrum, 2013.
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2013 | Book | LibreCat-ID: 51491
J. Hilgert, Lesebuch Mathematik für das erste Studienjahr. Springer Spektrum, 2013.
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2012 | Journal Article | LibreCat-ID: 51396
J. Hilgert, B. Orsted, J. Möllers, and T. Kobayashi, “Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups,” J. Funct. Anal., vol. 263, pp. 3492–3563, 2012.
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2012 | Journal Article | LibreCat-ID: 51397
J. Hilgert, W. Palzer, and A. Alldridge, “Integration on non-compact supermanifolds,” Journal of Geometry and Physics, vol. 62, pp. 427–448, 2012.
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2012 | Journal Article | LibreCat-ID: 51398
J. Hilgert, M. Schröder, and S. Hansen, “Patterson-Sullivan distributions in higher rank,” Math. Z., vol. 272, pp. 607–643, 2012.
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2012 | Preprint | LibreCat-ID: 51534
J. Hilgert, T. Kobayashi, J. Möllers, and B. Orsted, “Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups.” 2012.
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2012 | Book | LibreCat-ID: 51492
J. Hilgert and I. Hilgert, Mathematik - Ein Reiseführer. Springer Spektrum, 2012.
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2011 | Journal Article | LibreCat-ID: 51399
J. Hilgert, J. Möllers, G. Mano, and T. Kobayashi, “Orthogonal polynomials associated to a certain fourth order differential equation,” Ramanujan J., vol. 26, pp. 295–310, 2011.
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2011 | Journal Article | LibreCat-ID: 51400
J. Hilgert, J. Möllers, G. Mano, and T. Kobayashi, “Special functions associated to a certain fourth order differential equation,” Ramanujan J., vol. 26, pp. 1–34, 2011.
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2011 | Preprint | LibreCat-ID: 51535
J. Hilgert, T. Kobayashi, and J. Möllers, “Minimal representations via Bessel operators.” 2011.
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2011 | Preprint | LibreCat-ID: 51538
J. Hilgert, A. Alldridge, and M. Laubinger, “Harmonic analysis on Heisenberg--Clifford Lie supergroups.” 2011.
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2011 | Preprint | LibreCat-ID: 51537
J. Hilgert, S. Hansen, and M. Schröder, “Patterson--Sullivan distributions in higher rank.” 2011.
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2011 | Preprint | LibreCat-ID: 51536
J. Hilgert, A. Alldridge, and W. Palzer, “Integration on Non-Compact Supermanifolds.” 2011.
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2011 | Book | LibreCat-ID: 51494
J. Hilgert and K.-H. Neeb, An Introduction to the Structure and Geometry of Lie Groups. New York: Springer, 2011.
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2010 | Journal Article | LibreCat-ID: 51402
J. Hilgert, M. Zirnbauer, and A. Alldridge, “Chevalley’s Restriction Theorem for Reductive Symmetric Superpairs,” J. Algebra, vol. 323, pp. 1159–1185, 2010.
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2010 | Journal Article | LibreCat-ID: 51401
J. Hilgert and A. Alldridge, “Invariant Berezin integration on homogeneous supermanifolds,” J. Lie Theory, vol. 20, pp. 65–91, 2010.
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2009 | Journal Article | LibreCat-ID: 51404
J. Hilgert and A. Pasquale, “Resonances and Residue Operators for Symmetric Spaces of Rank One,” J. Math. Pures Appl., vol. 91, pp. 495–507, 2009.
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2009 | Journal Article | LibreCat-ID: 51403
J. Hilgert, S. Keliny, and S. Hansen, “Asymptotic K-support and Restrictions of Representations,” Representation Theory, vol. 13, pp. 460–469, 2009.
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2009 | Journal Article | LibreCat-ID: 51405
J. Hilgert and G. Zhang, “Segal-Bargmann and Weyl Transforms on Compact Groups,” Monatsh. Math., vol. 158, pp. 85–305, 2009.
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2009 | Book Chapter | LibreCat-ID: 51467
J. Hilgert and A. Pohl, “Symbolic Dynamics for the Geodesic Flow on Locally Symmetric Orbifolds of Rank One,” in Infinite Dimensional Harmonic Analysis IV, J. Hilgert and et al., Eds. Singapore: World Scientific, 2009.
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2009 | Preprint | LibreCat-ID: 51541
J. Hilgert, T. Kobayashi, G. Mano, and J. Möllers, “Orthogonal polynomials associated to a certain fourth order differential equation.” 2009.
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2009 | Preprint | LibreCat-ID: 51542
J. Hilgert, T. Kobayashi, G. Mano, and J. Möllers, “Special functions associated to a certain fourth order differential equation.” 2009.
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2009 | Preprint | LibreCat-ID: 51540
J. Hilgert and M. Schröder, “Patterson--Sullivan distributions for rank one symmetric spaces of the noncompact type.” 2009.
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2009 | Preprint | LibreCat-ID: 51539
J. Hilgert and A. Alldridge, “Invariant Berezin integration on homogeneous supermanifolds.” 2009.
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2009 | Preprint | LibreCat-ID: 51543
J. Hilgert, S. Hansen, and S. Keliny, “Asymptotic K-Support and Restrictions of Representations.” 2009.
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2009 | Book (Editor) | LibreCat-ID: 51590
J. Hilgert, A. Hora, T. Kawazoe, K. Nishiyama, and M. Voit, Eds., Infinite Dimensional Harmonic Analysis IV - On the Interplay between Representation Theory, Random Matrices, Special Functions, and Probability. World Scientific, 2009.
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2008 | Journal Article | LibreCat-ID: 51407
J. Hilgert and F. Rilke, “Meromorphic Continuation of Dynamical Zeta Functions via Transfer Operators,” J. Funct. Anal., vol. 254, pp. 476–505, 2008.
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2008 | Journal Article | LibreCat-ID: 51406
J. Hilgert, “Mayer’s Transfer Operator and Representations of SL(2),” Semigroup Forum, vol. 77, pp. 64–85, 2008.
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2008 | Preprint | LibreCat-ID: 51546
J. Hilgert and A. D. Pohl , “Symbolic dynamics for the geodesic flow on locally symmetric orbifolds of rank one.” 2008.
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2008 | Preprint | LibreCat-ID: 51544
J. Hilgert, A. Alldridge, and M. Zirnbauer, “Chevalley’s restriction theorem for reductive symmetric superpairs.” 2008.
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2008 | Preprint | LibreCat-ID: 51545
J. Hilgert, “Attractor Networks on Complex Flag Manifolds.” 2008.
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2008 | Book Review | LibreCat-ID: 51602
J. Hilgert, “Faraut, J. Analysis on Lie Groups (Cambridge University Press, 2008),” Math. Reviews. 2008.
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2007 | Journal Article | LibreCat-ID: 51408
J. Hilgert and A. Deitmar, “The Lewis Correspondence for Submodular Groups,” Forum Math., vol. 19, pp. 1075–1099, 2007.
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2007 | Preprint | LibreCat-ID: 51547
J. Hilgert and F. Rilke, “Meromorphic continuation of dynamical zeta functions via transfer operators.” 2007.
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2007 | Book Review | LibreCat-ID: 51601
J. Hilgert, “Wolf, J..A. Harmonic Analysis on Commutative Spaces (AMS, 2007),” Math. Reviews. 2007.
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2007 | Book Review | LibreCat-ID: 51600
J. Hilgert, “Procesi, C. Lie Groups (Springer, 2007),” JBer. DMV. 2007.
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2006 | Book Review | LibreCat-ID: 51577
J. Hilgert, “Adler, M., P. Moerbeke, P. Vanhaecke. Algebraic integrability, Painlevé geometry and Lie algebras (Springer, 2004),” JBer. DMV, vol. 108. 2006.
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2006 | Book Review | LibreCat-ID: 51599
J. Hilgert, “Stroppel, M. Topological groups (EMS, 2006),” Zentralblatt für Math. 2006.
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2005 | Book Chapter | LibreCat-ID: 51468
J. Hilgert, “An Ergodic Arnold-Liouville Theorem for Symmetric Spaces,” in Twenty Years of Bialowieza: A Mathematical Antology, S. T. Ali and et al., Eds. Singapore: World Scientific, 2005.
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2005 | Journal Article | LibreCat-ID: 51410
J. Hilgert, H. Movasati, and D. Mayer, “Transfer Operators for Gamma_0(n) and the Hecke Operators for the Period Functions of PSL(2,Z),” Math. Proc. Camb. Phil. Soc., vol. 139, pp. 81–116, 2005.
LibreCat
2005 | Book Review | LibreCat-ID: 51578
J. Hilgert, “Dungey, N., A. ter Elst, D. Robinson. Analysis on Lie Groups with Polynomial Growth (Birkhäuser, Boston, 2003),” JBer. DMV, vol. 107. 2005.
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2005 | Journal Article | LibreCat-ID: 51409
J. Hilgert and A. Deitmar, “Cohomology of Arithmetic Groups with Infinite Dimensional Coefficient Spaces,” Documanta Math., vol. 10, pp. 199–216, 2005.
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2004 | Book Chapter | LibreCat-ID: 51469
J. Hilgert and D. Mayer, “The Dynamical Zeta Function and Transfer Operators for the Kac-Baker Model,” in Complex Analysis and Dynamical Systems, vol. 364, M. Agranowsky and et al., Eds. 2004.
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2003 | Journal Article | LibreCat-ID: 51411
J. Hilgert, E. B. Vinberg, and A. Pasquale, “The Dual Horospherical Radon Transform as a Limit of Spherical Radon Transforms,” AMS Translations, vol. 210, pp. 135–143, 2003.
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2003 | Preprint | LibreCat-ID: 51550
J. Hilgert, D. Mayer, and H. Movasati, “Transfer operators for Γ0(n) and the Hecke operators for the period functions for PSL(2,Z).” 2003.
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2003 | Preprint | LibreCat-ID: 51549
J. Hilgert and A. Deitmar, “Cohomology of arithmetic groups with infinite dimensional coefficient spaces.” 2003.
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2002 | Book Chapter | LibreCat-ID: 51470
J. Hilgert, “Representation Theory of Lie Groups,” in Handbook on the Heart of Algebra, A. V. Mikhalev and G. F. Pilz, Eds. Dordrecht: Kluwer, 2002.
LibreCat
2002 | Book Chapter | LibreCat-ID: 51471
J. Hilgert, “Lie Groups,” in Handbook on the Heart of Algebra, A. V. Mikhalev and G. F. Pilz, Eds. Dordrecht: Kluwer, 2002.
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2002 | Journal Article | LibreCat-ID: 51412
J. Hilgert and D. Mayer, “Transfer Operators and Dynamical Zeta Functions for a Class of Lattice Spin Models,” Commun Math. Phys., vol. 232, pp. 19–58, 2002.
LibreCat
2002 | Journal Article | LibreCat-ID: 51413
J. Hilgert, A. Pasquale, and E. B. Vinberg, “The Dual Horospherical Radon Transform for Polynomials,” Moscow Math. J., vol. 2, pp. 113–126, 2002.
LibreCat
2002 | Book Review | LibreCat-ID: 51579
J. Hilgert, “Juhl, A. Cohomological Theory of Dynamical Zeta Functions (Birkhäuser, Boston, 2000),” JBer. DMV, vol. 104. 2002.
LibreCat
2002 | Book Review | LibreCat-ID: 51580
J. Hilgert, “Neeb, K.-H. Holomorphy and Convexity in Lie Theory (De Gruyter, Berlin, 2000),” Semigroup Forum, vol. 64. 2002.
LibreCat
2002 | Book (Editor) | LibreCat-ID: 51591
J. Hilgert, A. Strasburger, K.-H. Neeb, and W. Wojtynski, Eds., Geometry and Analysis on Finite- and Infinite-Dimensional Lie Groups. Banach Center Publications 55, 2002.
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2002 | Preprint | LibreCat-ID: 51551
J. Hilgert and D. Mayer, “Transfer operators and dynamical zeta functions for a class of lattice spin models.” 2002.
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2001 | Preprint | LibreCat-ID: 51552
J. Hilgert and D. Mayer, “The dynamical zeta function and transfer operators for the Kac-Baker model.” 2001.
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2001 | Journal Article | LibreCat-ID: 51417
J. Hilgert and W. Bertram, “Characterization of the Kantor-Koecher-Tits Algebra by a Generalized Ahlfors Operator,” J. Lie Theory, vol. 11, pp. 415–426, 2001.
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2001 | Journal Article | LibreCat-ID: 51416
J. Hilgert and K.-H. Neeb, “Vector Valued Riesz Distributions on Euclidian Jordan Algebras,” J. Geometric Analysis, vol. 11, pp. 43–75, 2001.
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2001 | Journal Article | LibreCat-ID: 51414
J. Hilgert and W. Bertram, “Geometry of Symmetric Spaces via Jordan Structures. Bull. Transsilv,” Univ. Brasov Ser., vol. 8, pp. 7–18, 2001.
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2001 | Journal Article | LibreCat-ID: 51418
J. Hilgert and B. Krötz, “The Plancherel Theorem for Invariant Hilbert Spaces,” Math. Zeitschrift, vol. 237, pp. 61–83, 2001.
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2001 | Preprint | LibreCat-ID: 51553
J. Hilgert, A. Pasquale, and E. B. Vinberg, “The dual horospherical Radon transform for polynomials.” 2001.
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2001 | Book Review | LibreCat-ID: 51598
J. Hilgert, “Berenstein, C., D.-C. Chang, J. Tie. Laguerre Calculus and its Applications on the Heisenberg Group (AMS, International Press, 2001),” Math. Reviews. 2001.
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2000 | Journal Article | LibreCat-ID: 51419
J. Hilgert and W. Bertram, “Geometric Hardy and Bergman Spaces,” Michigan Math. J., vol. 47, pp. 235–263, 2000.
LibreCat
2000 | Book (Editor) | LibreCat-ID: 51592
J. Hilgert, H.-D. Doebner, and V. K. Dobrev, Eds., Lie Theory and its Applcations in Physics III. World Scientific, 2000.
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1999 | Journal Article | LibreCat-ID: 51422
J. Hilgert and B. Krötz, “Representations, Characters, and Spherical Functions Associated to Causal Symmetric Spaces,” J. Funct. Anal., vol. 169, pp. 357–390, 1999.
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1999 | Book Review | LibreCat-ID: 51581
J. Hilgert, “Guillemin, V., E. Lerman, S. Sternberg. Symplectic fibration and Multiplicity Diagrams (Cambridge University Press, 1996),” JBer. DMV, vol. 101. 1999.
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1999 | Journal Article | LibreCat-ID: 51424
J. Hilgert, A. Neumann , and G. Ólafsson, “A Conjugacy Theorem for Symmetric Spaces,” Math. Annalen, vol. 313, pp. 785–791, 1999.
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1999 | Journal Article | LibreCat-ID: 51423
J. Hilgert and B. Krötz, “Weighted Bergman Spaces Associated to Causal Symmetric Spaces,” Manus. Math., vol. 99, pp. 151–180, 1999.
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1999 | Journal Article | LibreCat-ID: 51421
J. Hilgert and K.-H. Neeb, “Positive Definite Spherical Functions on Olshanskii Domains,” Trans. AMS., vol. 352, pp. 1345–1380, 1999.
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1998 | Book Chapter | LibreCat-ID: 51477
J. Hilgert and K.-H. Neeb, “Invariant Cones in Real Representations,” in Positivity in Lie Theory: Open Problems, J. Hilgert, J. D. Lawson, K.-H. Neeb, and E. B. Vinberg, Eds. Berlin: De Gruyter, 1998.
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1998 | Book Chapter | LibreCat-ID: 51475
J. Hilgert and W. Bertram, “Reproducing Kernels on Vector Bundles,” in Lie Theory and its Applications in Physics, H. D. Doebner, V. Dobrev, and J. Hilgert, Eds. Singapore: World Scientific, 1998.
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1998 | Journal Article | LibreCat-ID: 51425
J. Hilgert and W. Bertram, “Hardy Spaces and Analytic Continuation of Bergman Spaces,” Bull. Math. Soc. Francaise, vol. 126, pp. 435–482, 1998.
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1998 | Journal Article | LibreCat-ID: 51426
J. Hilgert and K.-H. Neeb, “Poisson Lie Groups and Non-Linear Convexity Theorems,” Math. Nachr., vol. 191, pp. 153–187, 1998.
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1998 | Book (Editor) | LibreCat-ID: 51594
J. Hilgert, H.-D. Doebner, and V. K. Dobrev, Eds., Lie Theory and its Applcations in Physics II. World Scientific, 1998.
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1998 | Book (Editor) | LibreCat-ID: 51593
J. Hilgert, J. D. Lawson, K.-H. Neeb, and E. B. Vinberg, Eds., Positivity in Lie Theory. De Gruyter, , 1998.
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1997 | Journal Article | LibreCat-ID: 51427
J. Hilgert, “Singular Unitary Highest Weight Representations via Geometric Quantization,” Reports on Math. Physics, vol. 40, pp. 209–215, 1997.
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1997 | Book Review | LibreCat-ID: 51582
J. Hilgert, “Vaisman, I. Lectures on the Geometry of Poisson Manifolds (Birkhäuser, Boston, 1994),” JBer. DMV, vol. 99. 1997.
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1997 | Book | LibreCat-ID: 51495
J. Hilgert and G. Ólafsson, Causal Symmetric Spaces, Geometry and Harmonic Analysis. San Diego: Academic Press, 1997.
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1996 | Journal Article | LibreCat-ID: 51429
J. Hilgert, K.-H. Neeb, and B. Orsted, “Unitary Highest Weight Representations via the Orbit Method I: The Scalar Case,” Acta Appl.. Math., vol. 44, pp. 151–184, 1996.
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1996 | Journal Article | LibreCat-ID: 51430
J. Hilgert, K.-H. Neeb, and B. Orsted, “Conal Heisenberg Algebras and Associated Hilbert Spaces,” J. reine angew. Math., vol. 474, pp. 67–112, 1996.
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1996 | Journal Article | LibreCat-ID: 51431
J. Hilgert and K.-H. Neeb, “Orthogonal Lie Algrebras with Cone Potential,” Commun. in Alg., vol. 24, pp. 433–444, 1996.
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1996 | Journal Article | LibreCat-ID: 51428
J. Hilgert and K.-H. Neeb, “Spherical Functions on Olshanskii Spaces,” J. Funct. Anal., vol. 142, pp. 446–493, 1996.
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1996 | Book Review | LibreCat-ID: 51597
J. Hilgert, “Knapp, A.W. Lie Groups Beyond an Introduction (Birkhäuser, Boston, 1996),” Zentralblatt für Math. 1996.
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1995 | Book Chapter | LibreCat-ID: 51479
J. Hilgert, “The Halfspace Method for Causal Structures on Homogeneous Manifolds,” in Semigroups in Algebra, Geometry and Analysis, K. H. Hofmann, J. D. Lawson, and E. B. Vinberg, Eds. Berlin: De Gruyter, 1995.
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1995 | Book Review | LibreCat-ID: 51583
J. Hilgert, “Woodhouse, N.M.J. Geometric Quantization (Clarendon Press, 1992),” JBer. DMV, vol. 97. 1995.
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1995 | Book (Editor) | LibreCat-ID: 51595
J. Hilgert, H.-D. Doebner, and V. K. Dobrev, Eds., Lie Theory and its Applcations in Physics. World Scientific, 1995.
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1995 | Book Chapter | LibreCat-ID: 51478
J. Hilgert and K.-H. Neeb, “Symplectic Convexity Theorems, Lie Semigroups, and Unitary Representations,” in Semigroups in Algebra, Geometry and Analysis, K. H. Hofmann, J. D. Lawson, and E. B. Vinberg, Eds. Berlin: De Gruyter, 1995.
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1995 | Journal Article | LibreCat-ID: 51436
J. Hilgert and K.-H. Neeb, “Compression Semigroups of Open Orbits on Real Flag Manifolds,” Monatshefte Math., vol. 119, pp. 187–214, 1995.
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1995 | Journal Article | LibreCat-ID: 51432
J. Hilgert and K.-H. Neeb, “Compression Semigroups of Open Orbits in Complex Manifolds,” Arkiv för mat., vol. 33, pp. 293–322, 1995.
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1995 | Journal Article | LibreCat-ID: 51435
J. Hilgert and K.-H. Neeb, “Groupoid C*-Algebras of Order Compactified Symmetric Spaces,” Japan. J. Math., vol. 21, pp. 117–188, 1995.
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1995 | Journal Article | LibreCat-ID: 51433
J. Hilgert and K.-H. Neeb, “Wiener-Hopf Operators on Ordered Homogeneous Spaces,” J. Funct. Anal., vol. 132, pp. 86–118, 1995.
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1995 | Journal Article | LibreCat-ID: 51434
J. Hilgert, “Streitfragen der Mathematik in Forschung und Lehre,” mathematica didactica, vol. 18, pp. 93–108, 1995.
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1995 | Journal Article | LibreCat-ID: 51437
J. Hilgert and K.-H. Neeb, “Maximality of Compression Semigroups,” Semigroup Forum, vol. 50, pp. 205–222, 1995.
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1994 | Book Chapter | LibreCat-ID: 51481
J. Hilgert and K.-H. Neeb, “Poisson Lie Groups and Non-LInear Convexity Theorems,” in Generalized Symmetries in Physics, H. D. Doebner and et al., Eds. Singapore: World Scientifi, 1994.
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1994 | Book Chapter | LibreCat-ID: 51482
J. Hilgert, “Radon Transform on Halfplanes via Group Theory,” in Non-Compact Lie Groups and some of their Applcations, vol. 249, E. A. Tanner and R. Wilson, Eds. Dordrecht: KLuwer, 1994.
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1994 | Book Chapter | LibreCat-ID: 51480
J. Hilgert and K.-H. Neeb, “A General Setting for Wiener-Hopf Operators,” in 75 Years of Radon Transform, S. G. Gindikin and P. Michor, Eds. Boston: International Press, 1994.
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1994 | Journal Article | LibreCat-ID: 51438
J. Hilgert, K.-H. Neeb, and B. Orsted, “The Geometry of Nilpotent Coadjoint Orbits of Convex Type in Hermitian Lie Algebras,” J. Lie Theory, vol. 4, pp. 47–97, 1994.
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1994 | Journal Article | LibreCat-ID: 51439
J. Hilgert, J. Faraut, and G. Ólafsson, “Spherical Functions on Ordered Symmetric Spaces,” Ann. Inst. Fourier, vol. 44, pp. 927–965, 1994.
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1994 | Journal Article | LibreCat-ID: 51440
J. Hilgert, K.-H. Neeb, and W. Plank, “Symplectic Convexity Theorems and Coadjoint Orbits,” Compositio Math., vol. 94, pp. 129–180, 1994.
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1994 | Journal Article | LibreCat-ID: 51441
J. Hilgert, “A Convexity Theorems for Boundaries of Ordered Symmetric Spaces,” Canad. J. Math., vol. 46, pp. 746–757, 1994.
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1994 | Book Review | LibreCat-ID: 51596
J. Hilgert, “Leptin, H. und J. Ludwig. Unitary Representation Theory of Exponential Lie Groups (De Gruyter, Berlin, 1994),” Zentralblatt für Math. 1994.
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1993 | Book Review | LibreCat-ID: 51584
J. Hilgert, “Corwin, L. und F.P. Greenleaf. Representations of Nilpotent Lie Groups and their Applications. (Cambridge University Press, 1990),” JBer. DMV, vol. 95. 1993.
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1993 | Book | LibreCat-ID: 51496
J. Hilgert and K.-H. Neeb, Lie Semigroups and their Applications, vol. 1552. Springer, 1993.
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1992 | Book Review | LibreCat-ID: 51585
J. Hilgert, “Fomenko, A.T. Symplectic Geometry (Gordon and Breach, 1988),” JBer. DMV, vol. 94. 1992.
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1992 | Journal Article | LibreCat-ID: 51442
J. Hilgert and G. Ólafsson, “Analytic Extensions of Representations, the Solvable Case,” Japan. J. Math., vol. 18, pp. 213–290, 1992.
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1992 | Journal Article | LibreCat-ID: 51443
J. Hilgert, “Controllability on Real Reductive Groups,” Math. Zeitschrift, vol. 209, pp. 463–466, 1992.
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1991 | Book Review | LibreCat-ID: 51588
J. Hilgert, “Varadarajan, V.S. An Introduction to Harmonic Analysis on Semisimple Lie Groups (Cambridge University Press, 1989),” JBer. DMV, vol. 94, no. 4. 1991.
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1991 | Book Review | LibreCat-ID: 51589
J. Hilgert, “Terras, A. Harmonic Analysis on Symmetric Spaces I and II (Springer, New York, 1985 und 1988),” JBer. DMV, vol. 93, no. 2. 1991.
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1991 | Journal Article | LibreCat-ID: 51445
J. Hilgert, G. Ólafsson, and B. Orsted, “Hardy Spaces on Affine Symmetric Spaces,” J. reine und angew. Math., vol. 415, pp. 189–218, 1991.
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1991 | Book Chapter | LibreCat-ID: 51483
J. Hilgert, “Group Theoretical Aspects of Gödels Model,” in Jahrbuch der Gödel Gesellschaft, J. Hilgert, Ed. Wien, 1991.
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1991 | Journal Article | LibreCat-ID: 51444
J. Hilgert, “Infinitesimally Generated Subsemigroups of Motion Groups,” Rocky Mount. J. Math., vol. 21, pp. 865–878, 1991.
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1991 | Book Review | LibreCat-ID: 51586
J. Hilgert, “Onishchik, A.L., und E.B. Vinberg. Lie Groups and Algebraic Groups (Springer, New York, 1990),” Zentralblatt, vol. 722. 1991.
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1991 | Book | LibreCat-ID: 51497
J. Hilgert and K.-H. Neeb, Lie-Gruppen und Lie-Algebren. Wiesbaden: Vieweg Verlag, 1991.
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1990 | Book Chapter | LibreCat-ID: 51484
J. Hilgert, “Applications of Lie Semigroups in Analysis,” in The Analytical and Topological Theory of Semigroups, K. H. Hofmann and et al., Eds. Berlin: De Gruyter, 1990.
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1990 | Journal Article | LibreCat-ID: 51446
J. Hilgert and K. H. Hofmann, “On the Causal Structure of Homogeneous Manifolds,” Math. Scand., vol. 67, pp. 119–144, 1990.
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1989 | Journal Article | LibreCat-ID: 51448
J. Hilgert and K. H. Hofmann, “Compactly Embedded Cartan Algebras and Invariant Cones in Lie Algebras,” Advances Math., vol. 75, pp. 168–201, 1989.
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1989 | Journal Article | LibreCat-ID: 51447
J. Hilgert, “A Note on Howe’s Oscillator Semigroup,” Ann. Inst. Fourier, vol. 39, pp. 663–688, 1989.
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1989 | Book | LibreCat-ID: 51498
J. Hilgert, J. Lawson, and K. H. Hofmann, Lie Groups, Convex Cones, and Semigroups. Oxford: Oxford University Press, 1989.
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1988 | Book Chapter | LibreCat-ID: 51485
J. Hilgert, “Spectrally Ordered Lie Algebras,” in Group Theoretical Methods in Physics, vol. 313, H. D. Doebner and et al., Eds. New York: Springer, 1988.
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1988 | Journal Article | LibreCat-ID: 51449
J. Hilgert, “Invariant Lorentzian Orders on Simply Connected Lie Groups,” Arkiv för mat., vol. 26, pp. 107–115, 1988.
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1988 | Journal Article | LibreCat-ID: 51450
J. Hilgert and K. H. Hofmann, “Classification of Invariant Cones in Real Lie Algebras,” Bull. AMS, vol. 11, pp. 441–446, 1988.
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1988 | Journal Article | LibreCat-ID: 51451
J. Hilgert and K. H. Hofmann, “Invariant Cones in Lie Algebras,” Semigroup Forum 37l. Semigroup Forum, pp. 241–252, 1988.
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1987 | Book Chapter | LibreCat-ID: 51486
J. Hilgert, “Maximal Semigroups and the Support of Gauss-Semigroups,” in Probability and Baysian Statistics, R. Viertl, Ed. New York: Plenum Press, 1987.
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1987 | Journal Article | LibreCat-ID: 51452
J. Hilgert, “Maximal Semigroups and Controllability in Products of Lie Groups,” Archiv Math., vol. 49, pp. 189–195, 1987.
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1986 | Book Chapter | LibreCat-ID: 51487
J. Hilgert and K. H. Hofmann, “Invariant Cones in Real Lie Algebras,” in Aspects of Positivity in Functional Analysis, R. Nagel and et al., Eds. North Holland, 1986.
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1986 | Journal Article | LibreCat-ID: 51454
J. Hilgert, “The Mayer-Vietoris and the Puppe Sequence in K-Theory for C*-algebras,” Studia Math., vol. 83, pp. 97–104, 1986.
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1986 | Journal Article | LibreCat-ID: 51453
J. Hilgert and K. H. Hofmann, “On the Automorphism Group of Cones and Wedges,” Geom. Dedicata, vol. 21, pp. 205–217, 1986.
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1986 | Journal Article | LibreCat-ID: 51455
J. Hilgert and K. H. Hofmann, “On Sophus Lie’s Fundamental Theorem,” J. Funct. Anal., vol. 67, pp. 1–27, 1986.
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1985 | Journal Article | LibreCat-ID: 51456
J. Hilgert, K. H. Hofmann, and J. D. Lawson, “Controllabilty of Systems on Nilpotent Lie Groups,” Beiträge Alg. Geom., vol. 20, pp. 185–190, 1985.
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1985 | Journal Article | LibreCat-ID: 51458
J. Hilgert and K. H. Hofmann, “Semigroups in Lie Groups, Semialgebras in Lie Algebras,” Trans. AMS, vol. 288, pp. 481–504, 1985.
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1985 | Journal Article | LibreCat-ID: 51457
J. Hilgert and K. H. Hofmann, “Lorentzian Cones in Real Lie Algebras,” Monatshefte Math., vol. 100, pp. 183–210, 1985.
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1985 | Journal Article | LibreCat-ID: 51460
J. Hilgert and K. H. Hofmann, “Lie Semialgebras are Real Phenomena,” Math. Ann., vol. 270, pp. 97–103, 1985.
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1985 | Journal Article | LibreCat-ID: 51459
J. Hilgert and K. H. Hofmann, “Old and New on SL(2),” Manuscripta Math., vol. 54, pp. 17–52, 1985.
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1984 | Journal Article | LibreCat-ID: 51461
J. Hilgert and K. H. Hofmann, “Lie Theory of Semigroups,” Semigroup Forum, vol. 30, pp. 243–251, 1984.
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