207 Publications

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[207]
2024 | Journal Article | LibreCat-ID: 32101 | OA
Weich T, Guedes Bonthonneau Y, Guillarmou C, Hilgert J. Ruelle-Taylor resonaces of Anosov actions. J Europ Math Soc. Published online 2024:1-36.
LibreCat | Files available
 
[206]
2024 | Preprint | LibreCat-ID: 51501 | OA
Hilgert J. Quantum-Classical Correspondences for Locally Symmetric Spaces. Published online 2024.
LibreCat | Download (ext.)
 
[205]
2024 | Preprint | LibreCat-ID: 53413
Delarue B, Hilgert J. Quantum resonances and scattering poles of classical rank one locally  symmetric spaces. arXiv:240314426. Published online 2024.
LibreCat | arXiv
 
[204]
2023 | Journal Article | LibreCat-ID: 31190
Hilgert J, Weich T, Wolf LL. Higher rank quantum-classical correspondence. Analysis & PDE. 2023;16(10):2241–2265.
LibreCat | arXiv
 
[203]
2023 | Preprint | LibreCat-ID: 51205
Bux K-U, Hilgert J, Weich T. Spectral correspondences for finite graphs without dead ends. arXiv:230710876. Published online 2023.
LibreCat | arXiv
 
[202]
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
LibreCat | DOI | arXiv
 
[201]
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.
LibreCat
 
[200]
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.
LibreCat
 
[199]
2023 | Preprint | LibreCat-ID: 51499 | OA
Hilgert J, Arends C, Frahm J. A pairing formula for resonant states on finite regular graphs. Published online 2023.
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[198]
2023 | Preprint | LibreCat-ID: 51500 | OA
Hilgert J, Arends C, Frahm J. Edge Laplacians and vector valued Poisson transforms for graphs. Published online 2023.
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[197]
2023 | Preprint | LibreCat-ID: 51502 | OA
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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[196]
2023 | Preprint | LibreCat-ID: 51521 | OA
Hilgert J, Guedes Bonthonneau Y, Guillarmou C, Weich T. Ruelle-Taylor resonances of Anosov actions. Published online 2023.
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[195]
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
LibreCat | DOI | arXiv
 
[194]
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
LibreCat | DOI
 
[193]
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.
LibreCat
 
[192]
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
LibreCat | DOI
 
[191]
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
LibreCat | DOI | arXiv
 
[190]
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
LibreCat | DOI
 
[189]
2021 | Book (Editor) | LibreCat-ID: 51493
Hilgert J, Hilgert I, eds. Mathematik - Ein Reiseführer 2. Auflage. Springer Spektrum; 2021.
LibreCat
 
[188]
2021 | Preprint | LibreCat-ID: 51503 | OA
Hilgert J, Weich T, Wolf L. Higher-rank quantum-classical correspondence. Published online 2021.
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[187]
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
LibreCat | DOI
 
[186]
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
LibreCat | DOI
 
[185]
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
LibreCat | DOI
 
[184]
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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[183]
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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[182]
2020 | Preprint | LibreCat-ID: 51520 | OA
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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[181]
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
LibreCat | DOI
 
[180]
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
LibreCat | DOI
 
[179]
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
LibreCat | DOI
 
[178]
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
LibreCat | DOI
 
[177]
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
LibreCat | DOI
 
[176]
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.
LibreCat
 
[175]
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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[174]
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
LibreCat | DOI
 
[173]
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
LibreCat | DOI
 
[172]
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
LibreCat | DOI
 
[171]
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
LibreCat | DOI
 
[170]
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
LibreCat | DOI
 
[169]
2019 | Book Chapter | LibreCat-ID: 51610
Hilgert J. Heilung durch Kunst? Schlingensiefs Reenactments der Avantgarden der Performancekunst (Ball, Brus, Beuys und Nitsch). In: Knapp L, Pogoda S, eds. Schlingensief und die Avantgarden. Fink; 2019.
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[168]
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
LibreCat | DOI | Download (ext.)
 
[167]
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.
LibreCat
 
[166]
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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[165]
2018 | Preprint | LibreCat-ID: 51523 | OA
Hilgert J, Hansen S, Parthasarathy A. Boundary Values of Eigenfunctions on Riemannian Symmetric Spaces. Published online 2018.
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[164]
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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[163]
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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[162]
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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[161]
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.
LibreCat
 
[160]
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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[159]
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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[158]
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
LibreCat | DOI | arXiv
 
[157]
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
LibreCat | DOI | Download (ext.)
 
[156]
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
LibreCat | DOI
 
[155]
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.
LibreCat
 
[154]
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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[153]
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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[152]
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.
LibreCat
 
[151]
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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[150]
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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[149]
2016 | Book (Editor) | LibreCat-ID: 51489
Hilgert J, ed. Mathematische Strukturen. Springer Spektrum; 2016.
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[148]
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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[147]
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
LibreCat | DOI | Download (ext.)
 
[146]
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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[145]
2015 | Preprint | LibreCat-ID: 51527
Hilgert J, Manon C, Martens J. Contraction of Hamiltonian K-spaces. Published online 2015.
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[144]
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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[143]
2015 | Preprint | LibreCat-ID: 51530
Hilgert J, Alldridge A, Wurzbacher T. Superorbits. Published online 2015.
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[142]
2014 | Conference Paper | LibreCat-ID: 31369 | OA
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
LibreCat | DOI | Download (ext.)
 
[141]
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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[140]
2014 | Journal Article | LibreCat-ID: 51393
Hilgert J, Wurzbacher T, Alldridge A. Singular superspaces. Math Z. 2014;278:441-492.
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[139]
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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[138]
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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[137]
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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[136]
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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[135]
2013 | Book (Editor) | LibreCat-ID: 51490
Hilgert J, ed. Arbeitsbuch Mathematik für das erste Studienjahr. Springer Spektrum; 2013.
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[134]
2013 | Book (Editor) | LibreCat-ID: 51491
Hilgert J, ed. Lesebuch Mathematik für das erste Studienjahr. Springer Spektrum; 2013.
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[133]
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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[132]
2013 | Preprint | LibreCat-ID: 51533
Hilgert J, Alldridge A, Wurzbacher T. Singular superspaces. Published online 2013.
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[131]
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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[130]
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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[129]
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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[128]
2012 | Book (Editor) | LibreCat-ID: 51492
Hilgert J, Hilgert I, eds. Mathematik - Ein Reiseführer. Springer Spektrum; 2012.
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[127]
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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[126]
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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[125]
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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[124]
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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[123]
2011 | Preprint | LibreCat-ID: 51535
Hilgert J, Kobayashi T, Möllers J. Minimal representations via Bessel operators. Published online 2011.
LibreCat | Download (ext.)
 
[122]
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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[121]
2011 | Preprint | LibreCat-ID: 51537
Hilgert J, Hansen S, Schröder M. Patterson--Sullivan distributions in higher rank. Published online 2011.
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[120]
2011 | Preprint | LibreCat-ID: 51536
Hilgert J, Alldridge A, Palzer W. Integration on Non-Compact Supermanifolds. Published online 2011.
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[119]
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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[118]
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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[117]
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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[116]
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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[115]
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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[114]
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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[113]
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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[112]
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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[111]
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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[110]
2009 | Preprint | LibreCat-ID: 51539
Hilgert J, Alldridge A. Invariant Berezin integration on homogeneous supermanifolds. Published online 2009.
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[109]
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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[108]
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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[107]
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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[106]
2008 | Journal Article | LibreCat-ID: 51406
Hilgert J. Mayer’s Transfer Operator and Representations of SL(2). Semigroup Forum. 2008;77:64-85.
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[105]
2008 | Preprint | LibreCat-ID: 51546
Hilgert J, Pohl AD. Symbolic dynamics for the geodesic flow on locally symmetric orbifolds of rank one. Published online 2008.
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[104]
2008 | Preprint | LibreCat-ID: 51544
Hilgert J, Alldridge A, Zirnbauer M. Chevalley’s restriction theorem for reductive symmetric superpairs. Published online 2008.
LibreCat | Download (ext.)
 
[103]
2008 | Preprint | LibreCat-ID: 51545
Hilgert J. Attractor Networks on Complex Flag Manifolds. Published online 2008.
LibreCat | Download (ext.)
 
[102]
2008 | Book Review | LibreCat-ID: 51602
Hilgert J. Faraut, J. Analysis on Lie Groups (Cambridge University Press, 2008). Math Reviews. Published online 2008.
LibreCat
 
[101]
2007 | Journal Article | LibreCat-ID: 51408
Hilgert J, Deitmar A. The Lewis Correspondence for Submodular Groups. Forum Math. 2007;19:1075-1099.
LibreCat
 
[100]
2007 | Preprint | LibreCat-ID: 51547
Hilgert J, Rilke F. Meromorphic continuation of dynamical zeta functions via transfer operators. Published online 2007.
LibreCat | Download (ext.)
 
[99]
2007 | Book Review | LibreCat-ID: 51601
Hilgert J. Wolf, J..A. Harmonic Analysis on Commutative Spaces (AMS, 2007). Math Reviews. Published online 2007.
LibreCat
 
[98]
2007 | Book Review | LibreCat-ID: 51600
Hilgert J. Procesi, C. Lie Groups (Springer, 2007). JBer DMV. Published online 2007.
LibreCat
 
[97]
2006 | Book Review | LibreCat-ID: 51577
Hilgert J. Adler, M., P. Moerbeke, P. Vanhaecke. Algebraic integrability, Painlevé geometry and Lie algebras (Springer, 2004). JBer DMV. 2006;108.
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[96]
2006 | Book Review | LibreCat-ID: 51599
Hilgert J. Stroppel, M. Topological groups (EMS, 2006). Zentralblatt für Math. Published online 2006.
LibreCat
 
[95]
2005 | Book Chapter | LibreCat-ID: 51468
Hilgert J. An Ergodic Arnold-Liouville Theorem for Symmetric Spaces. In: Ali ST, et al., eds. Twenty Years of Bialowieza: A Mathematical Antology. World Scientific; 2005.
LibreCat
 
[94]
2005 | Journal Article | LibreCat-ID: 51410
Hilgert J, Movasati H, Mayer D. Transfer Operators for Gamma_0(n) and the Hecke Operators for the Period Functions of PSL(2,Z). Math Proc Camb Phil Soc. 2005;139:81-116.
LibreCat
 
[93]
2005 | Book Review | LibreCat-ID: 51578
Hilgert J. Dungey, N., A. ter Elst, D. Robinson. Analysis on Lie Groups with Polynomial Growth (Birkhäuser, Boston, 2003). JBer DMV. 2005;107.
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[92]
2005 | Journal Article | LibreCat-ID: 51409
Hilgert J, Deitmar A. Cohomology of Arithmetic Groups with Infinite Dimensional Coefficient Spaces. Documanta Math. 2005;10:199-216.
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[91]
2004 | Book Chapter | LibreCat-ID: 51469
Hilgert J, Mayer D. The Dynamical Zeta Function and Transfer Operators for the Kac-Baker Model. In: Agranowsky M, et al., eds. Complex Analysis and Dynamical Systems. Vol 364. Contemporary Mathematics. ; 2004.
LibreCat
 
[90]
2003 | Journal Article | LibreCat-ID: 51411
Hilgert J, Vinberg EB, Pasquale A. The Dual Horospherical Radon Transform as a Limit of Spherical Radon Transforms. AMS Translations. 2003;210:135-143.
LibreCat
 
[89]
2003 | Preprint | LibreCat-ID: 51550
Hilgert J, Mayer D, Movasati H. Transfer operators for Γ0(n) and the Hecke operators for the period functions for PSL(2,Z). Published online 2003.
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[88]
2003 | Preprint | LibreCat-ID: 51549
Hilgert J, Deitmar A. Cohomology of arithmetic groups with infinite dimensional coefficient spaces. Published online 2003.
LibreCat | Download (ext.)
 
[87]
2002 | Book Chapter | LibreCat-ID: 51470
Hilgert J. Representation Theory of Lie Groups. In: Mikhalev AV, Pilz GF, eds. Handbook on the Heart of Algebra. Kluwer; 2002.
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[86]
2002 | Book Chapter | LibreCat-ID: 51471
Hilgert J. Lie Groups. In: Mikhalev AV, Pilz GF, eds. Handbook on the Heart of Algebra. Kluwer; 2002.
LibreCat
 
[85]
2002 | Journal Article | LibreCat-ID: 51412
Hilgert J, Mayer D. Transfer Operators and Dynamical Zeta Functions for a Class of Lattice Spin Models. Commun Math Phys. 2002;232:19-58.
LibreCat
 
[84]
2002 | Journal Article | LibreCat-ID: 51413
Hilgert J, Pasquale A, Vinberg EB. The Dual Horospherical Radon Transform for Polynomials. Moscow Math J. 2002;2:113-126.
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[83]
2002 | Book Review | LibreCat-ID: 51579
Hilgert J. Juhl, A. Cohomological Theory of Dynamical Zeta Functions  (Birkhäuser, Boston, 2000). JBer DMV. 2002;104.
LibreCat
 
[82]
2002 | Book Review | LibreCat-ID: 51580
Hilgert J. Neeb, K.-H. Holomorphy and Convexity in Lie Theory  (De Gruyter, Berlin, 2000). Semigroup Forum. 2002;64.
LibreCat
 
[81]
2002 | Book (Editor) | LibreCat-ID: 51591
Hilgert J, Strasburger A, Neeb K-H, Wojtynski W, eds. Geometry and Analysis on Finite- and Infinite-Dimensional Lie Groups. Banach Center Publications 55; 2002.
LibreCat
 
[80]
2002 | Preprint | LibreCat-ID: 51551
Hilgert J, Mayer D. Transfer operators and dynamical zeta functions for a class of lattice spin models. Published online 2002.
LibreCat | Download (ext.)
 
[79]
2001 | Preprint | LibreCat-ID: 51552
Hilgert J, Mayer D. The dynamical zeta function and transfer operators for the Kac-Baker model. Published online 2001.
LibreCat | Download (ext.)
 
[78]
2001 | Journal Article | LibreCat-ID: 51417
Hilgert J, Bertram W. Characterization of the Kantor-Koecher-Tits Algebra by a Generalized Ahlfors Operator. J Lie Theory. 2001;11:415-426.
LibreCat
 
[77]
2001 | Journal Article | LibreCat-ID: 51416
Hilgert J, Neeb K-H. Vector Valued Riesz Distributions on Euclidian Jordan Algebras. J Geometric Analysis. 2001;11:43-75.
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[76]
2001 | Journal Article | LibreCat-ID: 51414
Hilgert J, Bertram W. Geometry of Symmetric Spaces via Jordan Structures. Bull. Transsilv. Univ Brasov Ser. 2001;8:7-18.
LibreCat
 
[75]
2001 | Journal Article | LibreCat-ID: 51418
Hilgert J, Krötz B. The Plancherel Theorem for Invariant Hilbert Spaces. Math Zeitschrift. 2001;237:61-83.
LibreCat
 
[74]
2001 | Preprint | LibreCat-ID: 51553
Hilgert J, Pasquale A, Vinberg EB. The dual horospherical Radon transform for polynomials. Published online 2001.
LibreCat | Download (ext.)
 
[73]
2001 | Book Review | LibreCat-ID: 51598
Hilgert J. Berenstein, C., D.-C. Chang, J. Tie. Laguerre Calculus and its Applications on the Heisenberg Group (AMS, International Press, 2001). Math Reviews. Published online 2001.
LibreCat
 
[72]
2000 | Journal Article | LibreCat-ID: 51419
Hilgert J, Bertram W. Geometric Hardy and Bergman Spaces. Michigan Math J. 2000;47:235-263.
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[71]
2000 | Book (Editor) | LibreCat-ID: 51592
Hilgert J, Doebner H-D, Dobrev VK, eds. Lie Theory and Its Applcations in Physics III. World Scientific; 2000.
LibreCat
 
[70]
1999 | Journal Article | LibreCat-ID: 51422
Hilgert J, Krötz B. Representations, Characters, and Spherical Functions Associated to Causal Symmetric Spaces. J Funct Anal. 1999;169:357-390.
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[69]
1999 | Book Review | LibreCat-ID: 51581
Hilgert J. Guillemin, V., E. Lerman, S. Sternberg. Symplectic fibration and Multiplicity Diagrams  (Cambridge University Press, 1996). JBer DMV. 1999;101.
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[68]
1999 | Journal Article | LibreCat-ID: 51424
Hilgert J, Neumann A, Ólafsson G. A Conjugacy Theorem for Symmetric Spaces. Math Annalen. 1999;313:785-791.
LibreCat
 
[67]
1999 | Journal Article | LibreCat-ID: 51423
Hilgert J, Krötz B. Weighted Bergman Spaces Associated to Causal Symmetric Spaces. Manus Math. 1999;99:151-180.
LibreCat
 
[66]
1999 | Journal Article | LibreCat-ID: 51421
Hilgert J, Neeb K-H. Positive Definite Spherical Functions on Olshanskii Domains. Trans AMS. 1999;352:1345-1380.
LibreCat
 
[65]
1998 | Book Chapter | LibreCat-ID: 51477
Hilgert J, Neeb K-H. Invariant Cones in Real Representations. In: Hilgert J, Lawson JD, Neeb K-H, Vinberg EB, eds. Positivity in Lie Theory: Open Problems. De Gruyter; 1998.
LibreCat
 
[64]
1998 | Book Chapter | LibreCat-ID: 51475
Hilgert J, Bertram W. Reproducing Kernels on Vector Bundles. In: Doebner HD, Dobrev V, Hilgert J, eds. Lie Theory and Its Applications in Physics. World Scientific; 1998.
LibreCat
 
[63]
1998 | Journal Article | LibreCat-ID: 51425
Hilgert J, Bertram W. Hardy Spaces and Analytic Continuation of Bergman Spaces. Bull Math Soc Francaise. 1998;126:435-482.
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[62]
1998 | Journal Article | LibreCat-ID: 51426
Hilgert J, Neeb K-H. Poisson Lie Groups and Non-Linear Convexity Theorems. Math Nachr. 1998;191:153-187.
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[61]
1998 | Book (Editor) | LibreCat-ID: 51594
Hilgert J, Doebner H-D, Dobrev VK, eds. Lie Theory and Its Applcations in Physics II. World Scientific; 1998.
LibreCat
 
[60]
1998 | Book (Editor) | LibreCat-ID: 51593
Hilgert J, Lawson JD, Neeb K-H, Vinberg EB, eds. Positivity in Lie Theory. De Gruyter, ; 1998.
LibreCat
 
[59]
1997 | Journal Article | LibreCat-ID: 51427
Hilgert J. Singular Unitary Highest Weight Representations via Geometric Quantization. Reports on Math Physics. 1997;40:209-215.
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[58]
1997 | Book (Editor) | LibreCat-ID: 51495
Hilgert J, Ólafsson G, eds. Causal Symmetric Spaces, Geometry and Harmonic Analysis. Academic Press; 1997.
LibreCat | Download (ext.)
 
[57]
1997 | Book Review | LibreCat-ID: 51582
Hilgert J. Vaisman, I. Lectures on the Geometry of Poisson Manifolds (Birkhäuser, Boston, 1994). JBer DMV. 1997;99.
LibreCat
 
[56]
1996 | Journal Article | LibreCat-ID: 51429
Hilgert J, Neeb K-H, Orsted B. Unitary Highest Weight Representations via the Orbit Method I: The Scalar Case. Acta  Appl. Math. 1996;44:151-184.
LibreCat
 
[55]
1996 | Journal Article | LibreCat-ID: 51430
Hilgert J, Neeb K-H, Orsted B. Conal Heisenberg Algebras and Associated Hilbert Spaces. J reine angew Math. 1996;474:67-112.
LibreCat
 
[54]
1996 | Journal Article | LibreCat-ID: 51431
Hilgert J, Neeb K-H. Orthogonal Lie Algrebras with Cone Potential. Commun in Alg. 1996;24:433-444.
LibreCat
 
[53]
1996 | Journal Article | LibreCat-ID: 51428
Hilgert J, Neeb K-H. Spherical Functions on Olshanskii Spaces. J Funct Anal. 1996;142:446-493.
LibreCat
 
[52]
1996 | Book Review | LibreCat-ID: 51597
Hilgert J. Knapp, A.W. Lie Groups Beyond an Introduction  (Birkhäuser, Boston, 1996). Zentralblatt für Math. Published online 1996.
LibreCat
 
[51]
1995 | Book Chapter | LibreCat-ID: 51479
Hilgert J. The Halfspace Method for Causal Structures on Homogeneous Manifolds. In: Hofmann KH, Lawson JD, Vinberg EB, eds. Semigroups in Algebra, Geometry and Analysis. De Gruyter; 1995.
LibreCat
 
[50]
1995 | Book Review | LibreCat-ID: 51583
Hilgert J. Woodhouse, N.M.J. Geometric Quantization (Clarendon Press, 1992). JBer DMV. 1995;97.
LibreCat
 
[49]
1995 | Book (Editor) | LibreCat-ID: 51595
Hilgert J, Doebner H-D, Dobrev VK, eds. Lie Theory and Its Applcations in Physics. World Scientific; 1995.
LibreCat
 
[48]
1995 | Book Chapter | LibreCat-ID: 51478
Hilgert J, Neeb K-H. Symplectic Convexity Theorems, Lie Semigroups, and Unitary Representations. In: Hofmann KH, Lawson JD, Vinberg EB, eds. Semigroups in Algebra, Geometry and Analysis. De Gruyter; 1995.
LibreCat
 
[47]
1995 | Journal Article | LibreCat-ID: 51436
Hilgert J, Neeb K-H. Compression Semigroups of Open Orbits on Real Flag Manifolds. Monatshefte Math. 1995;119:187-214.
LibreCat
 
[46]
1995 | Journal Article | LibreCat-ID: 51432
Hilgert J, Neeb K-H. Compression Semigroups of Open Orbits in Complex Manifolds. Arkiv för mat. 1995;33:293-322.
LibreCat
 
[45]
1995 | Journal Article | LibreCat-ID: 51435
Hilgert J, Neeb K-H. Groupoid C*-Algebras of Order Compactified Symmetric Spaces. Japan J Math. 1995;21:117-188.
LibreCat
 
[44]
1995 | Journal Article | LibreCat-ID: 51433
Hilgert J, Neeb K-H. Wiener-Hopf Operators on Ordered Homogeneous Spaces. J Funct Anal. 1995;132:86-118.
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[43]
1995 | Journal Article | LibreCat-ID: 51434
Hilgert J. Streitfragen der Mathematik in Forschung und Lehre. mathematica didactica. 1995;18:93-108.
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[42]
1995 | Journal Article | LibreCat-ID: 51437
Hilgert J, Neeb K-H. Maximality of Compression Semigroups. Semigroup Forum. 1995;50:205-222.
LibreCat
 
[41]
1994 | Book Chapter | LibreCat-ID: 51481
Hilgert J, Neeb K-H. Poisson Lie Groups and Non-LInear Convexity Theorems. In: Doebner HD, et al., eds. Generalized Symmetries in Physics. World Scientifi; 1994.
LibreCat
 
[40]
1994 | Book Chapter | LibreCat-ID: 51482
Hilgert J. Radon Transform on Halfplanes via Group Theory. In: Tanner EA, Wilson R, eds. Non-Compact Lie Groups and Some of Their Applcations. Vol 249. NATO ASI Series. KLuwer; 1994.
LibreCat
 
[39]
1994 | Book Chapter | LibreCat-ID: 51480
Hilgert J, Neeb K-H. A General Setting for Wiener-Hopf Operators. In: Gindikin SG, Michor P, eds. 75 Years of Radon Transform. International Press; 1994.
LibreCat
 
[38]
1994 | Journal Article | LibreCat-ID: 51438
Hilgert J, Neeb K-H, Orsted B. The Geometry of Nilpotent Coadjoint Orbits of Convex Type in Hermitian Lie Algebras. J Lie Theory. 1994;4:47-97.
LibreCat
 
[37]
1994 | Journal Article | LibreCat-ID: 51439
Hilgert J, Faraut J, Ólafsson G. Spherical Functions on Ordered Symmetric Spaces. Ann Inst Fourier. 1994;44:927-965.
LibreCat
 
[36]
1994 | Journal Article | LibreCat-ID: 51440
Hilgert J, Neeb K-H, Plank W. Symplectic Convexity Theorems and Coadjoint Orbits. Compositio Math. 1994;94:129-180.
LibreCat
 
[35]
1994 | Journal Article | LibreCat-ID: 51441
Hilgert J. A Convexity Theorems for Boundaries of Ordered Symmetric Spaces. Canad J Math. 1994;46:746-757.
LibreCat
 
[34]
1994 | Book Review | LibreCat-ID: 51596
Hilgert J. Leptin, H. und J. Ludwig. Unitary Representation Theory of Exponential Lie Groups (De Gruyter, Berlin, 1994). Zentralblatt für Math. Published online 1994.
LibreCat
 
[33]
1993 | Book (Editor) | LibreCat-ID: 51496
Hilgert J, Neeb K-H, eds. Lie Semigroups and Their Applications. Vol 1552. Springer; 1993.
LibreCat | Download (ext.)
 
[32]
1993 | Book Review | LibreCat-ID: 51584
Hilgert J. Corwin, L. und F.P. Greenleaf. Representations of Nilpotent Lie Groups and their Applications. (Cambridge University Press, 1990). JBer DMV. 1993;95.
LibreCat
 
[31]
1992 | Book Review | LibreCat-ID: 51585
Hilgert J. Fomenko, A.T. Symplectic Geometry (Gordon and Breach, 1988). JBer DMV. 1992;94.
LibreCat
 
[30]
1992 | Journal Article | LibreCat-ID: 51442
Hilgert J, Ólafsson G. Analytic Extensions of Representations, the Solvable Case. Japan J Math. 1992;18:213-290.
LibreCat
 
[29]
1992 | Journal Article | LibreCat-ID: 51443
Hilgert J. Controllability on Real Reductive Groups. Math Zeitschrift. 1992;209:463-466.
LibreCat
 
[28]
1991 | Book Review | LibreCat-ID: 51588
Hilgert J. Varadarajan, V.S. An Introduction to Harmonic Analysis on Semisimple Lie Groups (Cambridge University Press, 1989). JBer DMV. 1991;94(4).
LibreCat
 
[27]
1991 | Book Review | LibreCat-ID: 51589
Hilgert J. Terras, A. Harmonic Analysis on Symmetric Spaces I and II (Springer, New York, 1985 und 1988). JBer DMV. 1991;93(2).
LibreCat
 
[26]
1991 | Journal Article | LibreCat-ID: 51445
Hilgert J, Ólafsson G, Orsted B. Hardy Spaces on Affine Symmetric Spaces. J reine und angew Math. 1991;415:189-218.
LibreCat
 
[25]
1991 | Book Chapter | LibreCat-ID: 51483
Hilgert J. Group Theoretical Aspects of Gödels Model. In: Hilgert J, ed. Jahrbuch Der Gödel Gesellschaft. ; 1991.
LibreCat
 
[24]
1991 | Journal Article | LibreCat-ID: 51444
Hilgert J. Infinitesimally Generated Subsemigroups of Motion Groups. Rocky Mount J Math. 1991;21:865-878.
LibreCat
 
[23]
1991 | Book (Editor) | LibreCat-ID: 51497
Hilgert J, Neeb K-H, eds. Lie-Gruppen und Lie-Algebren. Vieweg Verlag; 1991.
LibreCat | Download (ext.)
 
[22]
1991 | Book Review | LibreCat-ID: 51586
Hilgert J. Onishchik, A.L., und E.B. Vinberg. Lie Groups and Algebraic Groups (Springer, New York, 1990). Zentralblatt. 1991;722.
LibreCat
 
[21]
1990 | Book Chapter | LibreCat-ID: 51484
Hilgert J. Applications of Lie Semigroups in Analysis. In: Hofmann KH, et al., eds. The Analytical and Topological Theory of Semigroups. De Gruyter; 1990.
LibreCat
 
[20]
1990 | Journal Article | LibreCat-ID: 51446
Hilgert J, Hofmann KH. On the Causal Structure of Homogeneous Manifolds. Math Scand. 1990;67:119-144.
LibreCat
 
[19]
1989 | Journal Article | LibreCat-ID: 51448
Hilgert J, Hofmann KH. Compactly Embedded Cartan Algebras and Invariant Cones in Lie Algebras. Advances Math. 1989;75:168-201.
LibreCat
 
[18]
1989 | Journal Article | LibreCat-ID: 51447
Hilgert J. A Note on Howe’s Oscillator Semigroup. Ann Inst Fourier. 1989;39:663-688.
LibreCat
 
[17]
1989 | Book (Editor) | LibreCat-ID: 51498
Hilgert J, Hofmann KH, Lawson JD, eds. Lie Groups, Convex Cones, and Semigroups. Oxford University Press; 1989.
LibreCat
 
[16]
1988 | Book Chapter | LibreCat-ID: 51485
Hilgert J. Spectrally Ordered Lie Algebras. In: Doebner HD, et al., eds. Group Theoretical Methods in Physics. Vol 313. Lecture Notes in Physics. Springer; 1988.
LibreCat
 
[15]
1988 | Journal Article | LibreCat-ID: 51449
Hilgert J. Invariant Lorentzian Orders on Simply Connected Lie Groups. Arkiv för mat. 1988;26:107-115.
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[14]
1988 | Journal Article | LibreCat-ID: 51450
Hilgert J, Hofmann KH. Classification of Invariant Cones in Real Lie Algebras. Bull AMS. 1988;11:441-446.
LibreCat
 
[13]
1988 | Journal Article | LibreCat-ID: 51451
Hilgert J, Hofmann KH. Invariant Cones in Lie Algebras. Semigroup Forum 37l Semigroup Forum. Published online 1988:241-252.
LibreCat
 
[12]
1987 | Book Chapter | LibreCat-ID: 51486
Hilgert J. Maximal Semigroups and the Support of Gauss-Semigroups. In: Viertl R, ed. Probability and Baysian Statistics. Plenum Press; 1987.
LibreCat
 
[11]
1987 | Journal Article | LibreCat-ID: 51452
Hilgert J. Maximal Semigroups and Controllability in Products of Lie Groups. Archiv Math. 1987;49:189-195.
LibreCat
 
[10]
1986 | Book Chapter | LibreCat-ID: 51487
Hilgert J, Hofmann KH. Invariant Cones in Real Lie Algebras. In: Nagel R, et al., eds. Aspects of Positivity in Functional Analysis. North Holland; 1986.
LibreCat
 
[9]
1986 | Journal Article | LibreCat-ID: 51454
Hilgert J. The Mayer-Vietoris and the Puppe Sequence in K-Theory for C*-algebras. Studia Math. 1986;83:97-104.
LibreCat
 
[8]
1986 | Journal Article | LibreCat-ID: 51453
Hilgert J, Hofmann KH. On the Automorphism Group of Cones and Wedges. Geom Dedicata. 1986;21:205-217.
LibreCat
 

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[207]
2024 | Journal Article | LibreCat-ID: 32101 | OA
Weich T, Guedes Bonthonneau Y, Guillarmou C, Hilgert J. Ruelle-Taylor resonaces of Anosov actions. J Europ Math Soc. Published online 2024:1-36.
LibreCat | Files available
 
[206]
2024 | Preprint | LibreCat-ID: 51501 | OA
Hilgert J. Quantum-Classical Correspondences for Locally Symmetric Spaces. Published online 2024.
LibreCat | Download (ext.)
 
[205]
2024 | Preprint | LibreCat-ID: 53413
Delarue B, Hilgert J. Quantum resonances and scattering poles of classical rank one locally  symmetric spaces. arXiv:240314426. Published online 2024.
LibreCat | arXiv
 
[204]
2023 | Journal Article | LibreCat-ID: 31190
Hilgert J, Weich T, Wolf LL. Higher rank quantum-classical correspondence. Analysis & PDE. 2023;16(10):2241–2265.
LibreCat | arXiv
 
[203]
2023 | Preprint | LibreCat-ID: 51205
Bux K-U, Hilgert J, Weich T. Spectral correspondences for finite graphs without dead ends. arXiv:230710876. Published online 2023.
LibreCat | arXiv
 
[202]
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
LibreCat | DOI | arXiv
 
[201]
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.
LibreCat
 
[200]
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.
LibreCat
 
[199]
2023 | Preprint | LibreCat-ID: 51499 | OA
Hilgert J, Arends C, Frahm J. A pairing formula for resonant states on finite regular graphs. Published online 2023.
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[198]
2023 | Preprint | LibreCat-ID: 51500 | OA
Hilgert J, Arends C, Frahm J. Edge Laplacians and vector valued Poisson transforms for graphs. Published online 2023.
LibreCat | Download (ext.)
 
[197]
2023 | Preprint | LibreCat-ID: 51502 | OA
Hilgert J, Baier T, Kaya O, Mourao J, Nunes J. Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem. Published online 2023.
LibreCat | Download (ext.)
 
[196]
2023 | Preprint | LibreCat-ID: 51521 | OA
Hilgert J, Guedes Bonthonneau Y, Guillarmou C, Weich T. Ruelle-Taylor resonances of Anosov actions. Published online 2023.
LibreCat | Download (ext.)
 
[195]
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
LibreCat | DOI | arXiv
 
[194]
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
LibreCat | DOI
 
[193]
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.
LibreCat
 
[192]
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
LibreCat | DOI
 
[191]
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
LibreCat | DOI | arXiv
 
[190]
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
LibreCat | DOI
 
[189]
2021 | Book (Editor) | LibreCat-ID: 51493
Hilgert J, Hilgert I, eds. Mathematik - Ein Reiseführer 2. Auflage. Springer Spektrum; 2021.
LibreCat
 
[188]
2021 | Preprint | LibreCat-ID: 51503 | OA
Hilgert J, Weich T, Wolf L. Higher-rank quantum-classical correspondence. Published online 2021.
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[187]
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
LibreCat | DOI
 
[186]
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
LibreCat | DOI
 
[185]
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
LibreCat | DOI
 
[184]
2020 | Journal Article | LibreCat-ID: 51386
Hilgert J, Barnum H. Spectral Properties of Convex Bodies. J of Lie Theory. 2020;30:315-344.
LibreCat
 
[183]
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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[182]
2020 | Preprint | LibreCat-ID: 51520 | OA
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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[181]
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
LibreCat | DOI
 
[180]
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
LibreCat | DOI
 
[179]
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
LibreCat | DOI
 
[178]
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
LibreCat | DOI
 
[177]
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
LibreCat | DOI
 
[176]
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.
LibreCat
 
[175]
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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[174]
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
LibreCat | DOI
 
[173]
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
LibreCat | DOI
 
[172]
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
LibreCat | DOI
 
[171]
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
LibreCat | DOI
 
[170]
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
LibreCat | DOI
 
[169]
2019 | Book Chapter | LibreCat-ID: 51610
Hilgert J. Heilung durch Kunst? Schlingensiefs Reenactments der Avantgarden der Performancekunst (Ball, Brus, Beuys und Nitsch). In: Knapp L, Pogoda S, eds. Schlingensief und die Avantgarden. Fink; 2019.
LibreCat
 
[168]
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
LibreCat | DOI | Download (ext.)
 
[167]
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.
LibreCat
 
[166]
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.
LibreCat
 
[165]
2018 | Preprint | LibreCat-ID: 51523 | OA
Hilgert J, Hansen S, Parthasarathy A. Boundary Values of Eigenfunctions on Riemannian Symmetric Spaces. Published online 2018.
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[164]
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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[163]
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.
LibreCat
 
[162]
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.
LibreCat
 
[161]
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.
LibreCat
 
[160]
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.
LibreCat
 
[159]
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.
LibreCat
 
[158]
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
LibreCat | DOI | arXiv
 
[157]
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
LibreCat | DOI | Download (ext.)
 
[156]
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
LibreCat | DOI
 
[155]
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.
LibreCat
 
[154]
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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[153]
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.
LibreCat
 
[152]
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.
LibreCat
 
[151]
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.
LibreCat
 
[150]
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.
LibreCat
 
[149]
2016 | Book (Editor) | LibreCat-ID: 51489
Hilgert J, ed. Mathematische Strukturen. Springer Spektrum; 2016.
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[148]
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.
LibreCat
 
[147]
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
LibreCat | DOI | Download (ext.)
 
[146]
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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[145]
2015 | Preprint | LibreCat-ID: 51527
Hilgert J, Manon C, Martens J. Contraction of Hamiltonian K-spaces. Published online 2015.
LibreCat | Download (ext.)
 
[144]
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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[143]
2015 | Preprint | LibreCat-ID: 51530
Hilgert J, Alldridge A, Wurzbacher T. Superorbits. Published online 2015.
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[142]
2014 | Conference Paper | LibreCat-ID: 31369 | OA
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
LibreCat | DOI | Download (ext.)
 
[141]
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.
LibreCat
 
[140]
2014 | Journal Article | LibreCat-ID: 51393
Hilgert J, Wurzbacher T, Alldridge A. Singular superspaces. Math Z. 2014;278:441-492.
LibreCat
 
[139]
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.
LibreCat
 
[138]
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.
LibreCat
 
[137]
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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[136]
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.
LibreCat
 
[135]
2013 | Book (Editor) | LibreCat-ID: 51490
Hilgert J, ed. Arbeitsbuch Mathematik für das erste Studienjahr. Springer Spektrum; 2013.
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[134]
2013 | Book (Editor) | LibreCat-ID: 51491
Hilgert J, ed. Lesebuch Mathematik für das erste Studienjahr. Springer Spektrum; 2013.
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[133]
2013 | Preprint | LibreCat-ID: 51532
Hilgert J, Ólafsson G. The Radon transform and its dual for limits of symmetric spaces. Published online 2013.
LibreCat | Download (ext.)
 
[132]
2013 | Preprint | LibreCat-ID: 51533
Hilgert J, Alldridge A, Wurzbacher T. Singular superspaces. Published online 2013.
LibreCat | Download (ext.)
 
[131]
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.
LibreCat
 
[130]
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.
LibreCat
 
[129]
2012 | Journal Article | LibreCat-ID: 51398
Hilgert J, Schröder M, Hansen S. Patterson-Sullivan distributions in higher rank. Math Z. 2012;272:607-643.
LibreCat
 
[128]
2012 | Book (Editor) | LibreCat-ID: 51492
Hilgert J, Hilgert I, eds. Mathematik - Ein Reiseführer. Springer Spektrum; 2012.
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[127]
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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[126]
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.
LibreCat
 
[125]
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.
LibreCat
 
[124]
2011 | Book (Editor) | LibreCat-ID: 51494
Hilgert J, Neeb K-H, eds. An Introduction to the Structure and Geometry of Lie Groups. Springer; 2011.
LibreCat | Download (ext.)
 
[123]
2011 | Preprint | LibreCat-ID: 51535
Hilgert J, Kobayashi T, Möllers J. Minimal representations via Bessel operators. Published online 2011.
LibreCat | Download (ext.)
 
[122]
2011 | Preprint | LibreCat-ID: 51538
Hilgert J, Alldridge A, Laubinger M. Harmonic analysis on Heisenberg--Clifford Lie supergroups. Published online 2011.
LibreCat | Download (ext.)
 
[121]
2011 | Preprint | LibreCat-ID: 51537
Hilgert J, Hansen S, Schröder M. Patterson--Sullivan distributions in higher rank. Published online 2011.
LibreCat | Download (ext.)
 
[120]
2011 | Preprint | LibreCat-ID: 51536
Hilgert J, Alldridge A, Palzer W. Integration on Non-Compact Supermanifolds. Published online 2011.
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[119]
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.
LibreCat
 
[118]
2010 | Journal Article | LibreCat-ID: 51401
Hilgert J, Alldridge A. Invariant Berezin integration on homogeneous supermanifolds. J Lie Theory. 2010;20:65-91.
LibreCat
 
[117]
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.
LibreCat
 
[116]
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.
LibreCat
 
[115]
2009 | Journal Article | LibreCat-ID: 51405
Hilgert J, Zhang G. Segal-Bargmann and Weyl Transforms on Compact Groups. Monatsh Math. 2009;158:85-305.
LibreCat
 
[114]
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.
LibreCat
 
[113]
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.
LibreCat | Download (ext.)
 
[112]
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.
LibreCat | Download (ext.)
 
[111]
2009 | Preprint | LibreCat-ID: 51540
Hilgert J, Schröder M. Patterson--Sullivan distributions for rank one symmetric spaces of the noncompact type. Published online 2009.
LibreCat | Download (ext.)
 
[110]
2009 | Preprint | LibreCat-ID: 51539
Hilgert J, Alldridge A. Invariant Berezin integration on homogeneous supermanifolds. Published online 2009.
LibreCat | Download (ext.)
 
[109]
2009 | Preprint | LibreCat-ID: 51543
Hilgert J, Hansen S, Keliny S. Asymptotic K-Support and Restrictions of Representations. Published online 2009.
LibreCat | Download (ext.)
 
[108]
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.
LibreCat
 
[107]
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.
LibreCat
 
[106]
2008 | Journal Article | LibreCat-ID: 51406
Hilgert J. Mayer’s Transfer Operator and Representations of SL(2). Semigroup Forum. 2008;77:64-85.
LibreCat
 
[105]
2008 | Preprint | LibreCat-ID: 51546
Hilgert J, Pohl AD. Symbolic dynamics for the geodesic flow on locally symmetric orbifolds of rank one. Published online 2008.
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[104]
2008 | Preprint | LibreCat-ID: 51544
Hilgert J, Alldridge A, Zirnbauer M. Chevalley’s restriction theorem for reductive symmetric superpairs. Published online 2008.
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[103]
2008 | Preprint | LibreCat-ID: 51545
Hilgert J. Attractor Networks on Complex Flag Manifolds. Published online 2008.
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[102]
2008 | Book Review | LibreCat-ID: 51602
Hilgert J. Faraut, J. Analysis on Lie Groups (Cambridge University Press, 2008). Math Reviews. Published online 2008.
LibreCat
 
[101]
2007 | Journal Article | LibreCat-ID: 51408
Hilgert J, Deitmar A. The Lewis Correspondence for Submodular Groups. Forum Math. 2007;19:1075-1099.
LibreCat
 
[100]
2007 | Preprint | LibreCat-ID: 51547
Hilgert J, Rilke F. Meromorphic continuation of dynamical zeta functions via transfer operators. Published online 2007.
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[99]
2007 | Book Review | LibreCat-ID: 51601
Hilgert J. Wolf, J..A. Harmonic Analysis on Commutative Spaces (AMS, 2007). Math Reviews. Published online 2007.
LibreCat
 
[98]
2007 | Book Review | LibreCat-ID: 51600
Hilgert J. Procesi, C. Lie Groups (Springer, 2007). JBer DMV. Published online 2007.
LibreCat
 
[97]
2006 | Book Review | LibreCat-ID: 51577
Hilgert J. Adler, M., P. Moerbeke, P. Vanhaecke. Algebraic integrability, Painlevé geometry and Lie algebras (Springer, 2004). JBer DMV. 2006;108.
LibreCat
 
[96]
2006 | Book Review | LibreCat-ID: 51599
Hilgert J. Stroppel, M. Topological groups (EMS, 2006). Zentralblatt für Math. Published online 2006.
LibreCat
 
[95]
2005 | Book Chapter | LibreCat-ID: 51468
Hilgert J. An Ergodic Arnold-Liouville Theorem for Symmetric Spaces. In: Ali ST, et al., eds. Twenty Years of Bialowieza: A Mathematical Antology. World Scientific; 2005.
LibreCat
 
[94]
2005 | Journal Article | LibreCat-ID: 51410
Hilgert J, Movasati H, Mayer D. Transfer Operators for Gamma_0(n) and the Hecke Operators for the Period Functions of PSL(2,Z). Math Proc Camb Phil Soc. 2005;139:81-116.
LibreCat
 
[93]
2005 | Book Review | LibreCat-ID: 51578
Hilgert J. Dungey, N., A. ter Elst, D. Robinson. Analysis on Lie Groups with Polynomial Growth (Birkhäuser, Boston, 2003). JBer DMV. 2005;107.
LibreCat
 
[92]
2005 | Journal Article | LibreCat-ID: 51409
Hilgert J, Deitmar A. Cohomology of Arithmetic Groups with Infinite Dimensional Coefficient Spaces. Documanta Math. 2005;10:199-216.
LibreCat
 
[91]
2004 | Book Chapter | LibreCat-ID: 51469
Hilgert J, Mayer D. The Dynamical Zeta Function and Transfer Operators for the Kac-Baker Model. In: Agranowsky M, et al., eds. Complex Analysis and Dynamical Systems. Vol 364. Contemporary Mathematics. ; 2004.
LibreCat
 
[90]
2003 | Journal Article | LibreCat-ID: 51411
Hilgert J, Vinberg EB, Pasquale A. The Dual Horospherical Radon Transform as a Limit of Spherical Radon Transforms. AMS Translations. 2003;210:135-143.
LibreCat
 
[89]
2003 | Preprint | LibreCat-ID: 51550
Hilgert J, Mayer D, Movasati H. Transfer operators for Γ0(n) and the Hecke operators for the period functions for PSL(2,Z). Published online 2003.
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[88]
2003 | Preprint | LibreCat-ID: 51549
Hilgert J, Deitmar A. Cohomology of arithmetic groups with infinite dimensional coefficient spaces. Published online 2003.
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[87]
2002 | Book Chapter | LibreCat-ID: 51470
Hilgert J. Representation Theory of Lie Groups. In: Mikhalev AV, Pilz GF, eds. Handbook on the Heart of Algebra. Kluwer; 2002.
LibreCat
 
[86]
2002 | Book Chapter | LibreCat-ID: 51471
Hilgert J. Lie Groups. In: Mikhalev AV, Pilz GF, eds. Handbook on the Heart of Algebra. Kluwer; 2002.
LibreCat
 
[85]
2002 | Journal Article | LibreCat-ID: 51412
Hilgert J, Mayer D. Transfer Operators and Dynamical Zeta Functions for a Class of Lattice Spin Models. Commun Math Phys. 2002;232:19-58.
LibreCat
 
[84]
2002 | Journal Article | LibreCat-ID: 51413
Hilgert J, Pasquale A, Vinberg EB. The Dual Horospherical Radon Transform for Polynomials. Moscow Math J. 2002;2:113-126.
LibreCat
 
[83]
2002 | Book Review | LibreCat-ID: 51579
Hilgert J. Juhl, A. Cohomological Theory of Dynamical Zeta Functions  (Birkhäuser, Boston, 2000). JBer DMV. 2002;104.
LibreCat
 
[82]
2002 | Book Review | LibreCat-ID: 51580
Hilgert J. Neeb, K.-H. Holomorphy and Convexity in Lie Theory  (De Gruyter, Berlin, 2000). Semigroup Forum. 2002;64.
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[81]
2002 | Book (Editor) | LibreCat-ID: 51591
Hilgert J, Strasburger A, Neeb K-H, Wojtynski W, eds. Geometry and Analysis on Finite- and Infinite-Dimensional Lie Groups. Banach Center Publications 55; 2002.
LibreCat
 
[80]
2002 | Preprint | LibreCat-ID: 51551
Hilgert J, Mayer D. Transfer operators and dynamical zeta functions for a class of lattice spin models. Published online 2002.
LibreCat | Download (ext.)
 
[79]
2001 | Preprint | LibreCat-ID: 51552
Hilgert J, Mayer D. The dynamical zeta function and transfer operators for the Kac-Baker model. Published online 2001.
LibreCat | Download (ext.)
 
[78]
2001 | Journal Article | LibreCat-ID: 51417
Hilgert J, Bertram W. Characterization of the Kantor-Koecher-Tits Algebra by a Generalized Ahlfors Operator. J Lie Theory. 2001;11:415-426.
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[77]
2001 | Journal Article | LibreCat-ID: 51416
Hilgert J, Neeb K-H. Vector Valued Riesz Distributions on Euclidian Jordan Algebras. J Geometric Analysis. 2001;11:43-75.
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[76]
2001 | Journal Article | LibreCat-ID: 51414
Hilgert J, Bertram W. Geometry of Symmetric Spaces via Jordan Structures. Bull. Transsilv. Univ Brasov Ser. 2001;8:7-18.
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[75]
2001 | Journal Article | LibreCat-ID: 51418
Hilgert J, Krötz B. The Plancherel Theorem for Invariant Hilbert Spaces. Math Zeitschrift. 2001;237:61-83.
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[74]
2001 | Preprint | LibreCat-ID: 51553
Hilgert J, Pasquale A, Vinberg EB. The dual horospherical Radon transform for polynomials. Published online 2001.
LibreCat | Download (ext.)
 
[73]
2001 | Book Review | LibreCat-ID: 51598
Hilgert J. Berenstein, C., D.-C. Chang, J. Tie. Laguerre Calculus and its Applications on the Heisenberg Group (AMS, International Press, 2001). Math Reviews. Published online 2001.
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[72]
2000 | Journal Article | LibreCat-ID: 51419
Hilgert J, Bertram W. Geometric Hardy and Bergman Spaces. Michigan Math J. 2000;47:235-263.
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[71]
2000 | Book (Editor) | LibreCat-ID: 51592
Hilgert J, Doebner H-D, Dobrev VK, eds. Lie Theory and Its Applcations in Physics III. World Scientific; 2000.
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[70]
1999 | Journal Article | LibreCat-ID: 51422
Hilgert J, Krötz B. Representations, Characters, and Spherical Functions Associated to Causal Symmetric Spaces. J Funct Anal. 1999;169:357-390.
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[69]
1999 | Book Review | LibreCat-ID: 51581
Hilgert J. Guillemin, V., E. Lerman, S. Sternberg. Symplectic fibration and Multiplicity Diagrams  (Cambridge University Press, 1996). JBer DMV. 1999;101.
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[68]
1999 | Journal Article | LibreCat-ID: 51424
Hilgert J, Neumann A, Ólafsson G. A Conjugacy Theorem for Symmetric Spaces. Math Annalen. 1999;313:785-791.
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[67]
1999 | Journal Article | LibreCat-ID: 51423
Hilgert J, Krötz B. Weighted Bergman Spaces Associated to Causal Symmetric Spaces. Manus Math. 1999;99:151-180.
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[66]
1999 | Journal Article | LibreCat-ID: 51421
Hilgert J, Neeb K-H. Positive Definite Spherical Functions on Olshanskii Domains. Trans AMS. 1999;352:1345-1380.
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[65]
1998 | Book Chapter | LibreCat-ID: 51477
Hilgert J, Neeb K-H. Invariant Cones in Real Representations. In: Hilgert J, Lawson JD, Neeb K-H, Vinberg EB, eds. Positivity in Lie Theory: Open Problems. De Gruyter; 1998.
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[64]
1998 | Book Chapter | LibreCat-ID: 51475
Hilgert J, Bertram W. Reproducing Kernels on Vector Bundles. In: Doebner HD, Dobrev V, Hilgert J, eds. Lie Theory and Its Applications in Physics. World Scientific; 1998.
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[63]
1998 | Journal Article | LibreCat-ID: 51425
Hilgert J, Bertram W. Hardy Spaces and Analytic Continuation of Bergman Spaces. Bull Math Soc Francaise. 1998;126:435-482.
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[62]
1998 | Journal Article | LibreCat-ID: 51426
Hilgert J, Neeb K-H. Poisson Lie Groups and Non-Linear Convexity Theorems. Math Nachr. 1998;191:153-187.
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[61]
1998 | Book (Editor) | LibreCat-ID: 51594
Hilgert J, Doebner H-D, Dobrev VK, eds. Lie Theory and Its Applcations in Physics II. World Scientific; 1998.
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[60]
1998 | Book (Editor) | LibreCat-ID: 51593
Hilgert J, Lawson JD, Neeb K-H, Vinberg EB, eds. Positivity in Lie Theory. De Gruyter, ; 1998.
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[59]
1997 | Journal Article | LibreCat-ID: 51427
Hilgert J. Singular Unitary Highest Weight Representations via Geometric Quantization. Reports on Math Physics. 1997;40:209-215.
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[58]
1997 | Book (Editor) | LibreCat-ID: 51495
Hilgert J, Ólafsson G, eds. Causal Symmetric Spaces, Geometry and Harmonic Analysis. Academic Press; 1997.
LibreCat | Download (ext.)
 
[57]
1997 | Book Review | LibreCat-ID: 51582
Hilgert J. Vaisman, I. Lectures on the Geometry of Poisson Manifolds (Birkhäuser, Boston, 1994). JBer DMV. 1997;99.
LibreCat
 
[56]
1996 | Journal Article | LibreCat-ID: 51429
Hilgert J, Neeb K-H, Orsted B. Unitary Highest Weight Representations via the Orbit Method I: The Scalar Case. Acta  Appl. Math. 1996;44:151-184.
LibreCat
 
[55]
1996 | Journal Article | LibreCat-ID: 51430
Hilgert J, Neeb K-H, Orsted B. Conal Heisenberg Algebras and Associated Hilbert Spaces. J reine angew Math. 1996;474:67-112.
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[54]
1996 | Journal Article | LibreCat-ID: 51431
Hilgert J, Neeb K-H. Orthogonal Lie Algrebras with Cone Potential. Commun in Alg. 1996;24:433-444.
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[53]
1996 | Journal Article | LibreCat-ID: 51428
Hilgert J, Neeb K-H. Spherical Functions on Olshanskii Spaces. J Funct Anal. 1996;142:446-493.
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[52]
1996 | Book Review | LibreCat-ID: 51597
Hilgert J. Knapp, A.W. Lie Groups Beyond an Introduction  (Birkhäuser, Boston, 1996). Zentralblatt für Math. Published online 1996.
LibreCat
 
[51]
1995 | Book Chapter | LibreCat-ID: 51479
Hilgert J. The Halfspace Method for Causal Structures on Homogeneous Manifolds. In: Hofmann KH, Lawson JD, Vinberg EB, eds. Semigroups in Algebra, Geometry and Analysis. De Gruyter; 1995.
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[50]
1995 | Book Review | LibreCat-ID: 51583
Hilgert J. Woodhouse, N.M.J. Geometric Quantization (Clarendon Press, 1992). JBer DMV. 1995;97.
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[49]
1995 | Book (Editor) | LibreCat-ID: 51595
Hilgert J, Doebner H-D, Dobrev VK, eds. Lie Theory and Its Applcations in Physics. World Scientific; 1995.
LibreCat
 
[48]
1995 | Book Chapter | LibreCat-ID: 51478
Hilgert J, Neeb K-H. Symplectic Convexity Theorems, Lie Semigroups, and Unitary Representations. In: Hofmann KH, Lawson JD, Vinberg EB, eds. Semigroups in Algebra, Geometry and Analysis. De Gruyter; 1995.
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[47]
1995 | Journal Article | LibreCat-ID: 51436
Hilgert J, Neeb K-H. Compression Semigroups of Open Orbits on Real Flag Manifolds. Monatshefte Math. 1995;119:187-214.
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[46]
1995 | Journal Article | LibreCat-ID: 51432
Hilgert J, Neeb K-H. Compression Semigroups of Open Orbits in Complex Manifolds. Arkiv för mat. 1995;33:293-322.
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[45]
1995 | Journal Article | LibreCat-ID: 51435
Hilgert J, Neeb K-H. Groupoid C*-Algebras of Order Compactified Symmetric Spaces. Japan J Math. 1995;21:117-188.
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[44]
1995 | Journal Article | LibreCat-ID: 51433
Hilgert J, Neeb K-H. Wiener-Hopf Operators on Ordered Homogeneous Spaces. J Funct Anal. 1995;132:86-118.
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[43]
1995 | Journal Article | LibreCat-ID: 51434
Hilgert J. Streitfragen der Mathematik in Forschung und Lehre. mathematica didactica. 1995;18:93-108.
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[42]
1995 | Journal Article | LibreCat-ID: 51437
Hilgert J, Neeb K-H. Maximality of Compression Semigroups. Semigroup Forum. 1995;50:205-222.
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[41]
1994 | Book Chapter | LibreCat-ID: 51481
Hilgert J, Neeb K-H. Poisson Lie Groups and Non-LInear Convexity Theorems. In: Doebner HD, et al., eds. Generalized Symmetries in Physics. World Scientifi; 1994.
LibreCat
 
[40]
1994 | Book Chapter | LibreCat-ID: 51482
Hilgert J. Radon Transform on Halfplanes via Group Theory. In: Tanner EA, Wilson R, eds. Non-Compact Lie Groups and Some of Their Applcations. Vol 249. NATO ASI Series. KLuwer; 1994.
LibreCat
 
[39]
1994 | Book Chapter | LibreCat-ID: 51480
Hilgert J, Neeb K-H. A General Setting for Wiener-Hopf Operators. In: Gindikin SG, Michor P, eds. 75 Years of Radon Transform. International Press; 1994.
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[38]
1994 | Journal Article | LibreCat-ID: 51438
Hilgert J, Neeb K-H, Orsted B. The Geometry of Nilpotent Coadjoint Orbits of Convex Type in Hermitian Lie Algebras. J Lie Theory. 1994;4:47-97.
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[37]
1994 | Journal Article | LibreCat-ID: 51439
Hilgert J, Faraut J, Ólafsson G. Spherical Functions on Ordered Symmetric Spaces. Ann Inst Fourier. 1994;44:927-965.
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[36]
1994 | Journal Article | LibreCat-ID: 51440
Hilgert J, Neeb K-H, Plank W. Symplectic Convexity Theorems and Coadjoint Orbits. Compositio Math. 1994;94:129-180.
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[35]
1994 | Journal Article | LibreCat-ID: 51441
Hilgert J. A Convexity Theorems for Boundaries of Ordered Symmetric Spaces. Canad J Math. 1994;46:746-757.
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[34]
1994 | Book Review | LibreCat-ID: 51596
Hilgert J. Leptin, H. und J. Ludwig. Unitary Representation Theory of Exponential Lie Groups (De Gruyter, Berlin, 1994). Zentralblatt für Math. Published online 1994.
LibreCat
 
[33]
1993 | Book (Editor) | LibreCat-ID: 51496
Hilgert J, Neeb K-H, eds. Lie Semigroups and Their Applications. Vol 1552. Springer; 1993.
LibreCat | Download (ext.)
 
[32]
1993 | Book Review | LibreCat-ID: 51584
Hilgert J. Corwin, L. und F.P. Greenleaf. Representations of Nilpotent Lie Groups and their Applications. (Cambridge University Press, 1990). JBer DMV. 1993;95.
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[31]
1992 | Book Review | LibreCat-ID: 51585
Hilgert J. Fomenko, A.T. Symplectic Geometry (Gordon and Breach, 1988). JBer DMV. 1992;94.
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[30]
1992 | Journal Article | LibreCat-ID: 51442
Hilgert J, Ólafsson G. Analytic Extensions of Representations, the Solvable Case. Japan J Math. 1992;18:213-290.
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[29]
1992 | Journal Article | LibreCat-ID: 51443
Hilgert J. Controllability on Real Reductive Groups. Math Zeitschrift. 1992;209:463-466.
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[28]
1991 | Book Review | LibreCat-ID: 51588
Hilgert J. Varadarajan, V.S. An Introduction to Harmonic Analysis on Semisimple Lie Groups (Cambridge University Press, 1989). JBer DMV. 1991;94(4).
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[27]
1991 | Book Review | LibreCat-ID: 51589
Hilgert J. Terras, A. Harmonic Analysis on Symmetric Spaces I and II (Springer, New York, 1985 und 1988). JBer DMV. 1991;93(2).
LibreCat
 
[26]
1991 | Journal Article | LibreCat-ID: 51445
Hilgert J, Ólafsson G, Orsted B. Hardy Spaces on Affine Symmetric Spaces. J reine und angew Math. 1991;415:189-218.
LibreCat
 
[25]
1991 | Book Chapter | LibreCat-ID: 51483
Hilgert J. Group Theoretical Aspects of Gödels Model. In: Hilgert J, ed. Jahrbuch Der Gödel Gesellschaft. ; 1991.
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[24]
1991 | Journal Article | LibreCat-ID: 51444
Hilgert J. Infinitesimally Generated Subsemigroups of Motion Groups. Rocky Mount J Math. 1991;21:865-878.
LibreCat
 
[23]
1991 | Book (Editor) | LibreCat-ID: 51497
Hilgert J, Neeb K-H, eds. Lie-Gruppen und Lie-Algebren. Vieweg Verlag; 1991.
LibreCat | Download (ext.)
 
[22]
1991 | Book Review | LibreCat-ID: 51586
Hilgert J. Onishchik, A.L., und E.B. Vinberg. Lie Groups and Algebraic Groups (Springer, New York, 1990). Zentralblatt. 1991;722.
LibreCat
 
[21]
1990 | Book Chapter | LibreCat-ID: 51484
Hilgert J. Applications of Lie Semigroups in Analysis. In: Hofmann KH, et al., eds. The Analytical and Topological Theory of Semigroups. De Gruyter; 1990.
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[20]
1990 | Journal Article | LibreCat-ID: 51446
Hilgert J, Hofmann KH. On the Causal Structure of Homogeneous Manifolds. Math Scand. 1990;67:119-144.
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[19]
1989 | Journal Article | LibreCat-ID: 51448
Hilgert J, Hofmann KH. Compactly Embedded Cartan Algebras and Invariant Cones in Lie Algebras. Advances Math. 1989;75:168-201.
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[18]
1989 | Journal Article | LibreCat-ID: 51447
Hilgert J. A Note on Howe’s Oscillator Semigroup. Ann Inst Fourier. 1989;39:663-688.
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[17]
1989 | Book (Editor) | LibreCat-ID: 51498
Hilgert J, Hofmann KH, Lawson JD, eds. Lie Groups, Convex Cones, and Semigroups. Oxford University Press; 1989.
LibreCat
 
[16]
1988 | Book Chapter | LibreCat-ID: 51485
Hilgert J. Spectrally Ordered Lie Algebras. In: Doebner HD, et al., eds. Group Theoretical Methods in Physics. Vol 313. Lecture Notes in Physics. Springer; 1988.
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[15]
1988 | Journal Article | LibreCat-ID: 51449
Hilgert J. Invariant Lorentzian Orders on Simply Connected Lie Groups. Arkiv för mat. 1988;26:107-115.
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[14]
1988 | Journal Article | LibreCat-ID: 51450
Hilgert J, Hofmann KH. Classification of Invariant Cones in Real Lie Algebras. Bull AMS. 1988;11:441-446.
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[13]
1988 | Journal Article | LibreCat-ID: 51451
Hilgert J, Hofmann KH. Invariant Cones in Lie Algebras. Semigroup Forum 37l Semigroup Forum. Published online 1988:241-252.
LibreCat
 
[12]
1987 | Book Chapter | LibreCat-ID: 51486
Hilgert J. Maximal Semigroups and the Support of Gauss-Semigroups. In: Viertl R, ed. Probability and Baysian Statistics. Plenum Press; 1987.
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[11]
1987 | Journal Article | LibreCat-ID: 51452
Hilgert J. Maximal Semigroups and Controllability in Products of Lie Groups. Archiv Math. 1987;49:189-195.
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[10]
1986 | Book Chapter | LibreCat-ID: 51487
Hilgert J, Hofmann KH. Invariant Cones in Real Lie Algebras. In: Nagel R, et al., eds. Aspects of Positivity in Functional Analysis. North Holland; 1986.
LibreCat
 
[9]
1986 | Journal Article | LibreCat-ID: 51454
Hilgert J. The Mayer-Vietoris and the Puppe Sequence in K-Theory for C*-algebras. Studia Math. 1986;83:97-104.
LibreCat
 
[8]
1986 | Journal Article | LibreCat-ID: 51453
Hilgert J, Hofmann KH. On the Automorphism Group of Cones and Wedges. Geom Dedicata. 1986;21:205-217.
LibreCat
 

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