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207 Publications
2024 | Journal Article | LibreCat-ID: 32101 | 
Weich T, Guedes Bonthonneau Y, Guillarmou C, Hilgert J. Ruelle-Taylor resonaces of Anosov actions. J Europ Math Soc. Published online 2024:1-36.
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2024 | Preprint | LibreCat-ID: 51501 |
Hilgert J. Quantum-Classical Correspondences for Locally Symmetric Spaces. Published online 2024.
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2023 | Journal Article | LibreCat-ID: 31210
Arends C, Hilgert J. Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters. Journal de l’École polytechnique — Mathématiques. 2023;10:335-403. doi:10.5802/jep.220
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| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 51383
Hilgert J, Arends C. Spectral correspondences for rank one locally symmetric spaces - The case of exceptional parameters. J de l’École polytechnique — Mathématiques. 2023;10:335-403.
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2023 | Journal Article | LibreCat-ID: 51384
Hilgert J, Glöckner H. Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. J Diff Equations. 2023;343:186-232.
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2023 | Preprint | LibreCat-ID: 51499 |
Hilgert J, Arends C, Frahm J. A pairing formula for resonant states on finite regular graphs. Published online 2023.
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2023 | Preprint | LibreCat-ID: 51500 |
Hilgert J, Arends C, Frahm J. Edge Laplacians and vector valued Poisson transforms for graphs. Published online 2023.
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2023 | Preprint | LibreCat-ID: 51502 |
Hilgert J, Baier T, Kaya O, Mourao J, Nunes J. Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem. Published online 2023.
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2023 | Preprint | LibreCat-ID: 51521 |
Hilgert J, Guedes Bonthonneau Y, Guillarmou C, Weich T. Ruelle-Taylor resonances of Anosov actions. Published online 2023.
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2023 | Journal Article | LibreCat-ID: 34793
Glöckner H, Hilgert J. Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. Journal of Differential Equations. 2023;343:186–232. doi:10.1016/j.jde.2022.10.001
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| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 35322
Bux K-U, Hilgert J, Weich T. Poisson transforms for trees of bounded degree. Journal of Spectral Theory. 2022;12(2):659-681. doi:10.4171/jst/414
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| DOI
2022 | Journal Article | LibreCat-ID: 51385
Hilgert J, Weich T, Bux K-U. Poisson transforms for trees of bounded degree. J of Spectral Theory. 2022;12:659-681.
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2022 | Book Review | LibreCat-ID: 51554
Hilgert J. Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021. Mathematische Semesterberichte. 2022;69:151–153. doi:10.1007/s00591-021-00314-7
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| DOI
2021 | Journal Article | LibreCat-ID: 31263
Guillarmou C, Hilgert J, Weich T. High frequency limits for invariant Ruelle densities. Annales Henri Lebesgue. 2021;4:81-119. doi:10.5802/ahl.67
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| DOI
| arXiv
2021 | Journal Article | LibreCat-ID: 36271
Brennecken D, Hilgert J, Ciardo L. Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R). Journal of Lie Theory. 2021;31(2):459--468. doi:10.48550/arXiv.2008.07479
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| DOI
2021 | Book (Editor) | LibreCat-ID: 51493
Hilgert J, Hilgert I, eds. Mathematik - Ein Reiseführer 2. Auflage. Springer Spektrum; 2021.
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2021 | Preprint | LibreCat-ID: 51503 |
Hilgert J, Weich T, Wolf L. Higher-rank quantum-classical correspondence. Published online 2021.
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2021 | Book Review | LibreCat-ID: 51556
Hilgert J. Philip Ording: 99 Variations on a Proof. Princeton University Press 2019. Mathematische Semesterberichte. 2021;68:171–173. doi:10.1007/s00591-021-00295-7
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| DOI
2021 | Book Review | LibreCat-ID: 51555
Hilgert J. Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020. Mathematische Semesterberichte. 2021;68:175–177. doi:10.1007/s00591-021-00296-6
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| DOI
2021 | Journal Article | LibreCat-ID: 35702
Schürmann M, Panse A, Shaikh Z, et al. Consultation Phases in Mathematics Learning and Support Centres. International Journal of Research in Undergraduate Mathematics Education. 2021;8(1):94-120. doi:10.1007/s40753-021-00154-9
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| DOI
2020 | Journal Article | LibreCat-ID: 51386
Hilgert J, Barnum H. Spectral Properties of Convex Bodies. J of Lie Theory. 2020;30:315-344.
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2020 | Book (Editor) | LibreCat-ID: 51488
Hilgert J, ed. Mathematik studieren -- Ein Ratgeber für Erstsemester und solche, die es vielleicht werden wollen. Springer Spektrum; 2020.
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2020 | Preprint | LibreCat-ID: 51520 |
Hilgert J, Brennecken D, Ciardo L. Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(ℝ)/SOn(ℝ). Published online 2020.
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2020 | Book Review | LibreCat-ID: 51559
Hilgert J. 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. 2020;67:301–305. doi:10.1007/s00591-020-00282-4
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2020 | Book Review | LibreCat-ID: 51557
Hilgert J. Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020. Mathematische Semesterberichte. 2020;67:307–309. doi:10.1007/s00591-020-00283-3
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| DOI
2020 | Book Review | LibreCat-ID: 51561
Hilgert J. Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019. Mathematische Semesterberichte. 2020;67:123–124. doi:10.1007/s00591-020-00272-6
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| DOI
2020 | Book Review | LibreCat-ID: 51560
Hilgert J. David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019. Mathematische Semesterberichte. 2020;67:297–299. doi:10.1007/s00591-020-00280-6
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| DOI
2020 | Book Review | LibreCat-ID: 51564
Hilgert J. Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017). Mathematische Semesterberichte. 2020;67:97–98. doi:10.1007/s00591-019-00254-3
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| DOI
2020 | Book Review | LibreCat-ID: 51563
Hilgert J. Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und Euklid (De Gruyter 2019). Mathematische Semesterberichte. 2020;67:109–111. doi:10.1007/s00591-019-00254-3
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| DOI
2019 | Journal Article | LibreCat-ID: 51387
Hilgert J, Parthasarathy A, Hansen S. Resonances and Scattering Poles in Symmetric Spaces of Rank One. Inter Math Research Notices. 2019;20:6362-6389.
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2019 | Preprint | LibreCat-ID: 51522
Hilgert J, Barnum H. Strongly symmetric spectral convex bodies are Jordan algebra state spaces. Published online 2019.
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2019 | Book Review | LibreCat-ID: 51568
Hilgert J. 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. 2019;66:247–249. doi:10.1007/s00591-018-0233-8
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2019 | Book Review | LibreCat-ID: 51566
Hilgert J. Brian W. Kernighan: Millions billions zillions – defending yourself in a world of too many numbers. Princeton University Press 2018. Mathematische Semesterberichte. 2019;66:261–262. doi:10.1007/s00591-019-00251-6
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| DOI
2019 | Book Review | LibreCat-ID: 51567
Hilgert J. Joseph Honerkamp: Denken in Strukturen und seine Geschichte – Von der Kraft des mathematischen Beweises (Springer 2018). Mathematische Semesterberichte . 2019;66:257–258. doi:10.1007/s00591-018-0234-7
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| DOI
2019 | Book Review | LibreCat-ID: 51569
Hilgert J. Øystein Linnebo: Philosophy of Mathematics (Princeton University Press 2017). Mathematische Semesterberichte. 2019;66:127-129. doi:10.1007/s00591-018-0226-7
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| DOI
2019 | Book Review | LibreCat-ID: 51565
Hilgert J. Jost-Hinrich Eschenburg: Sternstunden der Mathematik. Springer 2017. Mathematische Semesterberichte. 2019;66:263–264. doi:10.1007/s00591-019-00247-2
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2018 | Journal Article | LibreCat-ID: 51388
Hilgert J, Wurzbacher T, Alldridge A. Superorbits. Journal of the Institute of Mathematics of Jussieu. 2018;17:1065-1120. doi:10.1017/S147474801600030X
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2018 | Journal Article | LibreCat-ID: 51389
Hilgert J, Weich T, Guillarmou C. Classical and quantum resonances for hyperbolic surfaces. Math Ann. 2018;370:1231-1275.
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2018 | Book Chapter | LibreCat-ID: 51462
Hilgert J. Von Fermat und Descartes zu Gauß und Cauchy - Der Wandel der Mathematik in der Zeit der Aufklärung. In: Nieland T, ed. Erscheinung und Vernunft - Wirklichkeitszugänge der Aufklärung. Frank&Timme; 2018.
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2018 | Preprint | LibreCat-ID: 51523 |
Hilgert J, Hansen S, Parthasarathy A. Boundary Values of Eigenfunctions on Riemannian Symmetric Spaces. Published online 2018.
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2018 | Preprint | LibreCat-ID: 51524
Hilgert J, Guillarmou C, Weich T. High frequency limits for invariant Ruelle densities. Published online 2018.
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2018 | Book Review | LibreCat-ID: 51571
Hilgert J. Winfried Scharlau: Das Glück, Mathematiker zu sein – Friedrich Hirzebruch und seine Zeit (Springer Spektrum 2017). Mathematische Semesterberichte. 2018;65:307-309.
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2018 | Book Review | LibreCat-ID: 51572
Hilgert J. Lemmermeyer, F: Quadratische Zahlkörper – Eine Einführung mit vielen Beispielen (Springer Spektrum 2017). Mathematische Semesterberichte. 2018;65:129-131.
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2018 | Book Review | LibreCat-ID: 51570
Hilgert J. Barry Mazur und William Stein: Prime Numbers and the Riemann Hypothesis. Mathematische Semesterberichte. 2018;65:311-313.
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2018 | Book Review | LibreCat-ID: 51574
Hilgert J. Joseph, G.G. Indian Mathematics. Engaging with the World from Ancient to Modern Times (World Scientific 2016). Mathematische Semesterberichte. 2018;65:121-123.
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2018 | Book Review | LibreCat-ID: 51573
Hilgert J. Diaconis, P., B. Skyrms: Ten great ideas about chance (Princeton University Press 2018). Mathematische Semesterberichte. 2018;65:125-127.
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2017 | Journal Article | LibreCat-ID: 31267
Guillarmou C, Hilgert J, Weich T. Classical and quantum resonances for hyperbolic surfaces. Mathematische Annalen. 2017;370(3-4):1231-1275. doi:10.1007/s00208-017-1576-5
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| DOI
| arXiv
2017 | Journal Article | LibreCat-ID: 51390
Hilgert J, Przebinda T, Pasquale A. Resonances for the Laplacian on Riemannian symmetric spaces: the case of SL(3,R)/SO(3). Representation Theory. 2017;21:416–457. doi:10.1090/ert/506
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2017 | Journal Article | LibreCat-ID: 51392
Hilgert J, Martens J, Manon Ch. Contraction of Hamiltonian K-spaces. Inter Math Research Notices. 2017;20:6255–6309. doi:10.1093/imrn/rnw191
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2017 | Journal Article | LibreCat-ID: 51391
Hilgert J, Przebinda T, Pasquale A. Resonances for the Laplacian of products of two rank one Riemannian symmetric spaces. J Funct Anal. 2017;272:1477-1523.
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2017 | Preprint | LibreCat-ID: 51525
Hilgert J, Hansen S, Parthasarathy A. Resonances and Scattering Poles in Symmetric Spaces of Rank One. Published online 2017.
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2017 | Book Review | LibreCat-ID: 51576
Hilgert J. Pitici, M. (Ed). The Best Writing on Mathematics 2016 (Princeton University Press, 2017). Mathematische Semesterberichte. 2017;64:253-254.
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2017 | Book Review | LibreCat-ID: 51575
Hilgert J. Devlin, K. Finding Fibonacci. The Quest to Rediscover the Forgotten Mathematical Genius Who Changed the World (Princeton University Press, 2017). Mathematische Semesterberichte. 2017;64:245-247.
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2016 | Book Chapter | LibreCat-ID: 51464
Hilgert J. Schwierigkeiten beim Übergang von Schule zu Hochschule im zeitlichen Vergleich - Ein Blick auf Defizite beim Erwerb von Schlüsselkompetenzen. In: Hoppenbrock A, et al., eds. Lehren und Lernen von Mathematik in der Studieneingangsphase. Springer Spektrum; 2016.
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2016 | Book Chapter | LibreCat-ID: 51463
Hilgert J, Pasquale A, Przebinda T. Resonances for the Laplacian: the cases BC2 and C2 (except SO(p,2) with p>2 odd). In: Kielanowski P, et al., eds. Geometric Methods in Physics. Birkhäuser; 2016.
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2016 | Book (Editor) | LibreCat-ID: 51489
Hilgert J, ed. Mathematische Strukturen. Springer Spektrum; 2016.
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2015 | Conference Paper | LibreCat-ID: 31368
Hilgert J, Hoffmann M, Panse A. Kann professorale Lehre tutoriell sein? Ein Modellversuch zur Einführung in mathematisches Denken und Arbeiten. In: Paravicini W, Schnieder J, eds. Tagungsband Zum Hansekolloquium Zur Hochschuldidaktik Der Mathematik. WTM-Verlag; 2015:23–26.
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2015 | Book | LibreCat-ID: 31373
Hilgert J, Hoffmann M, Panse A. Einführung in mathematisches Denken und Arbeiten: tutoriell und transparent. Springer; 2015. doi:10.1007/978-3-662-45512-8
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2015 | Preprint | LibreCat-ID: 51526
Hilgert J, Pasquale A, Przebinda T. Resonances for the Laplacian: the cases BC2 and C2 (except over SOo(p,2), p>0 odd). Published online 2015.
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2015 | Preprint | LibreCat-ID: 51527
Hilgert J, Manon C, Martens J. Contraction of Hamiltonian K-spaces. Published online 2015.
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2015 | Preprint | LibreCat-ID: 51529
Hilgert J, Pasquale A, Przebinda T. Resonances for the Laplacian of products of two rank one Riemannian symmetric spaces. Published online 2015.
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2015 | Preprint | LibreCat-ID: 51530
Hilgert J, Alldridge A, Wurzbacher T. Superorbits. Published online 2015.
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2014 | Conference Paper | LibreCat-ID: 31369 |
Panse A, Hilgert J, Hoffmann M. Handlungsbedarf in fachmathematischen Veranstaltungen? – Spezielle Maßnahmen an der Universität Paderborn. In: Roth J, Ames J, eds. Beiträge zum Mathematikunterricht 2014. WTM-Verlag; 2014:883–886. doi:10.17877/DE290R-15591
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2014 | Journal Article | LibreCat-ID: 51394
Hilgert J, Möllers J, Kobayashi T. Minimal representations via Bessel operators. J Math Soc Japan. 2014;66:349-414.
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2014 | Journal Article | LibreCat-ID: 51393
Hilgert J, Wurzbacher T, Alldridge A. Singular superspaces. Math Z. 2014;278:441-492.
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2014 | Book Chapter | LibreCat-ID: 51466
Hilgert J, Ólafsson G. The Radon transform and its dual for limits of symmetric spaces. In: Mason G, Penkov I, Wolf JA, eds. Developments and Retrospectives in Lie Theory - Geometric and Analytic Methods. Vol 37. Developments in Mathematics. Springer; 2014.
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2014 | Book Chapter | LibreCat-ID: 51465
Hilgert J, Hoffmann M, Panse A. Schwierigkeiten von Studienanfängern, verschiedene Lehrmethoden und Fragen an die Didaktik. In: Roth J, Ames J, eds. Beiträge zum Mathematikunterricht 2014. WTM Verlag; 2014.
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2014 | Preprint | LibreCat-ID: 51531
Hilgert J, Pasquale A, Przebinda T. Resonances for the Laplacian on Riemannian symmetric spaces: the case of SL(3,R)/SO(3). Published online 2014.
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2013 | Journal Article | LibreCat-ID: 51395
Hilgert J, Laubinger M, Alldridge A. Harmonic analysis on Heisenberg-Clifford Lie supergroups. J London Math Soc. 2013;87:561-585.
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2013 | Book (Editor) | LibreCat-ID: 51490
Hilgert J, ed. Arbeitsbuch Mathematik für das erste Studienjahr. Springer Spektrum; 2013.
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2013 | Book (Editor) | LibreCat-ID: 51491
Hilgert J, ed. Lesebuch Mathematik für das erste Studienjahr. Springer Spektrum; 2013.
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2013 | Preprint | LibreCat-ID: 51532
Hilgert J, Ólafsson G. The Radon transform and its dual for limits of symmetric spaces. Published online 2013.
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2013 | Preprint | LibreCat-ID: 51533
Hilgert J, Alldridge A, Wurzbacher T. Singular superspaces. Published online 2013.
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2012 | Journal Article | LibreCat-ID: 51396
Hilgert J, Orsted B, Möllers J, Kobayashi T. Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups. J Funct Anal. 2012;263:3492-3563.
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2012 | Journal Article | LibreCat-ID: 51397
Hilgert J, Palzer W, Alldridge A. Integration on non-compact supermanifolds. Journal of Geometry and Physics. 2012;62:427-448.
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2012 | Journal Article | LibreCat-ID: 51398
Hilgert J, Schröder M, Hansen S. Patterson-Sullivan distributions in higher rank. Math Z. 2012;272:607-643.
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2012 | Book (Editor) | LibreCat-ID: 51492
Hilgert J, Hilgert I, eds. Mathematik - Ein Reiseführer. Springer Spektrum; 2012.
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2012 | Preprint | LibreCat-ID: 51534
Hilgert J, Kobayashi T, Möllers J, Orsted B. Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups. Published online 2012.
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2011 | Journal Article | LibreCat-ID: 51399
Hilgert J, Möllers J, Mano G, Kobayashi T. Orthogonal polynomials associated to a certain fourth order differential equation. Ramanujan J. 2011;26:295-310.
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2011 | Journal Article | LibreCat-ID: 51400
Hilgert J, Möllers J, Mano G, Kobayashi T. Special functions associated to a certain fourth order differential equation. Ramanujan J. 2011;26:1-34.
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2011 | Book (Editor) | LibreCat-ID: 51494
Hilgert J, Neeb K-H, eds. An Introduction to the Structure and Geometry of Lie Groups. Springer; 2011.
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2011 | Preprint | LibreCat-ID: 51535
Hilgert J, Kobayashi T, Möllers J. Minimal representations via Bessel operators. Published online 2011.
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2011 | Preprint | LibreCat-ID: 51538
Hilgert J, Alldridge A, Laubinger M. Harmonic analysis on Heisenberg--Clifford Lie supergroups. Published online 2011.
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2011 | Preprint | LibreCat-ID: 51537
Hilgert J, Hansen S, Schröder M. Patterson--Sullivan distributions in higher rank. Published online 2011.
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2011 | Preprint | LibreCat-ID: 51536
Hilgert J, Alldridge A, Palzer W. Integration on Non-Compact Supermanifolds. Published online 2011.
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2010 | Journal Article | LibreCat-ID: 51402
Hilgert J, Zirnbauer M, Alldridge A. Chevalley’s Restriction Theorem for Reductive Symmetric Superpairs. J Algebra. 2010;323:1159-1185.
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2010 | Journal Article | LibreCat-ID: 51401
Hilgert J, Alldridge A. Invariant Berezin integration on homogeneous supermanifolds. J Lie Theory. 2010;20:65-91.
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2009 | Journal Article | LibreCat-ID: 51404
Hilgert J, Pasquale A. Resonances and Residue Operators for Symmetric Spaces of Rank One. J Math Pures Appl. 2009;91:495-507.
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2009 | Journal Article | LibreCat-ID: 51403
Hilgert J, Keliny S, Hansen S. Asymptotic K-support and Restrictions of Representations. Representation Theory. 2009;13:460-469.
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2009 | Journal Article | LibreCat-ID: 51405
Hilgert J, Zhang G. Segal-Bargmann and Weyl Transforms on Compact Groups. Monatsh Math. 2009;158:85-305.
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2009 | Book Chapter | LibreCat-ID: 51467
Hilgert J, Pohl A. Symbolic Dynamics for the Geodesic Flow on Locally Symmetric Orbifolds of Rank One. In: Hilgert J, et al., eds. Infinite Dimensional Harmonic Analysis IV. World Scientific; 2009.
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2009 | Preprint | LibreCat-ID: 51541
Hilgert J, Kobayashi T, Mano G, Möllers J. Orthogonal polynomials associated to a certain fourth order differential equation. Published online 2009.
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2009 | Preprint | LibreCat-ID: 51542
Hilgert J, Kobayashi T, Mano G, Möllers J. Special functions associated to a certain fourth order differential equation. Published online 2009.
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2009 | Preprint | LibreCat-ID: 51540
Hilgert J, Schröder M. Patterson--Sullivan distributions for rank one symmetric spaces of the noncompact type. Published online 2009.
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2009 | Preprint | LibreCat-ID: 51539
Hilgert J, Alldridge A. Invariant Berezin integration on homogeneous supermanifolds. Published online 2009.
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2009 | Preprint | LibreCat-ID: 51543
Hilgert J, Hansen S, Keliny S. Asymptotic K-Support and Restrictions of Representations. Published online 2009.
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2009 | Book (Editor) | LibreCat-ID: 51590
Hilgert J, Hora A, Kawazoe T, Nishiyama K, Voit M, 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
Hilgert J, Rilke F. Meromorphic Continuation of Dynamical Zeta Functions via Transfer Operators. J Funct Anal. 2008;254:476-505.
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