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207 Publications


2024 | Journal Article | LibreCat-ID: 32101 | OA
Ruelle-Taylor resonaces of Anosov actions
T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, J. Hilgert, J. Europ. Math. Soc. (2024) 1–36.
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2024 | Preprint | LibreCat-ID: 51501 | OA LibreCat | Download (ext.)
 

2024 | Preprint | LibreCat-ID: 53413 LibreCat | arXiv
 

2023 | Journal Article | LibreCat-ID: 31190
Higher rank quantum-classical correspondence
J. Hilgert, T. Weich, L.L. Wolf, Analysis & PDE 16 (2023) 2241–2265.
LibreCat | arXiv
 

2023 | Preprint | LibreCat-ID: 51205
Spectral correspondences for finite graphs without dead ends
K.-U. Bux, J. Hilgert, T. Weich, ArXiv:2307.10876 (2023).
LibreCat | arXiv
 

2023 | Journal Article | LibreCat-ID: 31210
Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters
C. Arends, J. Hilgert, Journal de l’École Polytechnique — Mathématiques 10 (2023) 335–403.
LibreCat | DOI | arXiv
 

2023 | Journal Article | LibreCat-ID: 51383
Spectral correspondences for rank one locally symmetric spaces - The case of exceptional parameters
J. Hilgert, C. Arends, J. de l’École Polytechnique — Mathématiques 10 (2023) 335–403.
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2023 | Journal Article | LibreCat-ID: 51384
Aspects of control theory on infinite-dimensional Lie groups and G-manifolds
J. Hilgert, H. Glöckner, J. Diff. Equations 343 (2023) 186–232.
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2023 | Preprint | LibreCat-ID: 51499 | OA
A pairing formula for resonant states on finite regular graphs
J. Hilgert, C. Arends, J. Frahm, (2023).
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2023 | Preprint | LibreCat-ID: 51500 | OA
Edge Laplacians and vector valued Poisson transforms for graphs
J. Hilgert, C. Arends, J. Frahm, (2023).
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2023 | Preprint | LibreCat-ID: 51502 | OA
Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem
J. Hilgert, T. Baier, O. Kaya, J. Mourao, J. Nunes, (2023).
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2023 | Preprint | LibreCat-ID: 51521 | OA
Ruelle-Taylor resonances of Anosov actions
J. Hilgert, Y. Guedes Bonthonneau, C. Guillarmou, T. Weich, (2023).
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2023 | Journal Article | LibreCat-ID: 34793
Aspects of control theory on infinite-dimensional Lie groups and G-manifolds
H. Glöckner, J. Hilgert, Journal of Differential Equations 343 (2023) 186–232.
LibreCat | DOI | arXiv
 

2022 | Journal Article | LibreCat-ID: 35322
Poisson transforms for trees of bounded degree
K.-U. Bux, J. Hilgert, T. Weich, Journal of Spectral Theory 12 (2022) 659–681.
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2022 | Journal Article | LibreCat-ID: 51385
Poisson transforms for trees of bounded degree
J. Hilgert, T. Weich, K.-U. Bux, J. of Spectral Theory 12 (2022) 659–681.
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2022 | Book Review | LibreCat-ID: 51554
Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021
J. Hilgert, Mathematische Semesterberichte 69 (2022) 151–153.
LibreCat | DOI
 

2021 | Journal Article | LibreCat-ID: 31263
High frequency limits for invariant Ruelle densities
C. Guillarmou, J. Hilgert, T. Weich, Annales Henri Lebesgue 4 (2021) 81–119.
LibreCat | DOI | arXiv
 

2021 | Journal Article | LibreCat-ID: 36271
Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R)
D. Brennecken, J. Hilgert, L. Ciardo, Journal of Lie Theory 31 (2021) 459--468.
LibreCat | DOI
 

2021 | Book (Editor) | LibreCat-ID: 51493
Mathematik - Ein Reiseführer 2. Auflage
J. Hilgert, I. Hilgert, eds., Mathematik - Ein Reiseführer 2. Auflage, Springer Spektrum, 2021.
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2021 | Preprint | LibreCat-ID: 51503 | OA
Higher-rank quantum-classical correspondence
J. Hilgert, T. Weich, L. Wolf, (2021).
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2021 | Book Review | LibreCat-ID: 51556
Philip Ording: 99 Variations on a Proof. Princeton University Press 2019
J. Hilgert, Mathematische Semesterberichte 68 (2021) 171–173.
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2021 | Book Review | LibreCat-ID: 51555 LibreCat | DOI
 

2021 | Journal Article | LibreCat-ID: 35702
Consultation Phases in Mathematics Learning and Support Centres
M. Schürmann, A. Panse, Z. Shaikh, R. Biehler, N. Schaper, M. Liebendörfer, J. Hilgert, International Journal of Research in Undergraduate Mathematics Education 8 (2021) 94–120.
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2020 | Journal Article | LibreCat-ID: 51386
Spectral Properties of Convex Bodies
J. Hilgert, H. Barnum, J. of Lie Theory 30 (2020) 315–344.
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2020 | Book (Editor) | LibreCat-ID: 51488
Mathematik studieren -- Ein Ratgeber für Erstsemester und solche, die es vielleicht werden wollen
J. Hilgert, 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 | OA LibreCat | Download (ext.)
 
 

2020 | Book Review | LibreCat-ID: 51557 LibreCat | DOI
 

2020 | Book Review | LibreCat-ID: 51561 LibreCat | DOI
 

2020 | Book Review | LibreCat-ID: 51560 LibreCat | DOI
 

2020 | Book Review | LibreCat-ID: 51564 LibreCat | DOI
 

2019 | Journal Article | LibreCat-ID: 51387
Resonances and Scattering Poles in Symmetric Spaces of Rank One
J. Hilgert, A. Parthasarathy, S. Hansen, Inter. Math. Research Notices 20 (2019) 6362–6389.
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2019 | Preprint | LibreCat-ID: 51522 LibreCat | Download (ext.)
 
 

2019 | Book Review | LibreCat-ID: 51566 LibreCat | DOI
 

2019 | Book Review | LibreCat-ID: 51567 LibreCat | DOI
 

2019 | Book Review | LibreCat-ID: 51569
Øystein Linnebo: Philosophy of Mathematics (Princeton University Press 2017)
J. Hilgert, Mathematische Semesterberichte 66 (2019) 127–129.
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2019 | Book Review | LibreCat-ID: 51565
Jost-Hinrich Eschenburg: Sternstunden der Mathematik. Springer 2017
J. Hilgert, Mathematische Semesterberichte 66 (2019) 263–264.
LibreCat | DOI
 

2019 | Book Chapter | LibreCat-ID: 51610
Heilung durch Kunst? Schlingensiefs Reenactments der Avantgarden der Performancekunst (Ball, Brus, Beuys und Nitsch)
J. Hilgert, in: L. Knapp, S. Pogoda (Eds.), Schlingensief und die Avantgarden, Fink, München, 2019.
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2018 | Journal Article | LibreCat-ID: 51388
Superorbits
J. Hilgert, T. Wurzbacher, A. Alldridge, Journal of the Institute of Mathematics of Jussieu 17 (2018) 1065–1120.
LibreCat | DOI | Download (ext.)
 

2018 | Journal Article | LibreCat-ID: 51389
Classical and quantum resonances for hyperbolic surfaces
J. Hilgert, T. Weich, C. Guillarmou, Math. Ann. 370 (2018) 1231–1275.
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2018 | Book Chapter | LibreCat-ID: 51462
Von Fermat und Descartes zu Gauß und Cauchy - Der Wandel der Mathematik in der Zeit der Aufklärung
J. Hilgert, in: T. Nieland (Ed.), Erscheinung und Vernunft - Wirklichkeitszugänge der Aufklärung, Frank&Timme, Berlin, 2018.
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2018 | Preprint | LibreCat-ID: 51523 | OA
Boundary Values of Eigenfunctions on Riemannian Symmetric Spaces
J. Hilgert, S. Hansen, A. Parthasarathy, (2018).
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2018 | Preprint | LibreCat-ID: 51524
High frequency limits for invariant Ruelle densities
J. Hilgert, C. Guillarmou, T. Weich, (2018).
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2018 | Book Review | LibreCat-ID: 51571 LibreCat
 

2018 | Book Review | LibreCat-ID: 51572 LibreCat
 

2018 | Book Review | LibreCat-ID: 51570
Barry Mazur und William Stein: Prime Numbers and the Riemann Hypothesis
J. Hilgert, Mathematische Semesterberichte 65 (2018) 311–313.
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2018 | Book Review | LibreCat-ID: 51574 LibreCat
 

2018 | Book Review | LibreCat-ID: 51573
Diaconis, P., B. Skyrms: Ten great ideas about chance (Princeton University Press 2018)
J. Hilgert, Mathematische Semesterberichte 65 (2018) 125–127.
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2017 | Journal Article | LibreCat-ID: 31267
Classical and quantum resonances for hyperbolic surfaces
C. Guillarmou, J. Hilgert, T. Weich, Mathematische Annalen 370 (2017) 1231–1275.
LibreCat | DOI | arXiv
 

2017 | Journal Article | LibreCat-ID: 51390
Resonances for the Laplacian on Riemannian symmetric spaces: the case of SL(3,R)/SO(3)
J. Hilgert, T. Przebinda, A. Pasquale, Representation Theory 21 (2017) 416–457.
LibreCat | DOI | Download (ext.)
 

2017 | Journal Article | LibreCat-ID: 51392
Contraction of Hamiltonian K-spaces
J. Hilgert, J. Martens, Ch. Manon, Inter. Math. Research Notices 20 (2017) 6255–6309.
LibreCat | DOI
 

2017 | Journal Article | LibreCat-ID: 51391
Resonances for the Laplacian of products of two rank one Riemannian symmetric spaces
J. Hilgert, T. Przebinda, A. Pasquale, J. Funct. Anal. 272 (2017) 1477–1523.
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2017 | Preprint | LibreCat-ID: 51525
Resonances and Scattering Poles in Symmetric Spaces of Rank One
J. Hilgert, S. Hansen, A. Parthasarathy, (2017).
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2017 | Book Review | LibreCat-ID: 51576
Pitici, M. (Ed). The Best Writing on Mathematics 2016 (Princeton University Press, 2017)
J. Hilgert, Mathematische Semesterberichte 64 (2017) 253–254.
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2017 | Book Review | LibreCat-ID: 51575 LibreCat
 

2016 | Book Chapter | LibreCat-ID: 51464
Schwierigkeiten beim Übergang von Schule zu Hochschule im zeitlichen Vergleich - Ein Blick auf Defizite beim Erwerb von Schlüsselkompetenzen
J. Hilgert, in: A. Hoppenbrock, et al. (Eds.), Lehren und Lernen von Mathematik in der Studieneingangsphase, Springer Spektrum, 2016.
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2016 | Book Chapter | LibreCat-ID: 51463
Resonances for the Laplacian: the cases BC2 and C2 (except SO(p,2) with p>2 odd)
J. Hilgert, A. Pasquale, T. Przebinda, in: P. Kielanowski, et al. (Eds.), Geometric Methods in Physics, Birkhäuser, 2016.
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2016 | Book (Editor) | LibreCat-ID: 51489
Mathematische Strukturen
J. Hilgert, ed., Mathematische Strukturen, Springer Spektrum, 2016.
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2015 | Conference Paper | LibreCat-ID: 31368
Kann professorale Lehre tutoriell sein? Ein Modellversuch zur Einführung in mathematisches Denken und Arbeiten
J. Hilgert, M. Hoffmann, A. Panse, in: W. Paravicini, J. Schnieder (Eds.), Tagungsband Zum Hansekolloquium Zur Hochschuldidaktik Der Mathematik., WTM-Verlag, Münster, 2015, pp. 23–26.
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2015 | Book | LibreCat-ID: 31373
Einführung in mathematisches Denken und Arbeiten: tutoriell und transparent
J. Hilgert, M. Hoffmann, A. Panse, Einführung in mathematisches Denken und Arbeiten: tutoriell und transparent, Springer, Berlin, Heidelberg, 2015.
LibreCat | DOI | Download (ext.)
 

2015 | Preprint | LibreCat-ID: 51526 LibreCat | Download (ext.)
 

2015 | Preprint | LibreCat-ID: 51527
Contraction of Hamiltonian K-spaces
J. Hilgert, C. Manon, J. Martens, (2015).
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2015 | Preprint | LibreCat-ID: 51529 LibreCat | Download (ext.)
 

2015 | Preprint | LibreCat-ID: 51530
Superorbits
J. Hilgert, A. Alldridge, T. Wurzbacher, (2015).
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2014 | Conference Paper | LibreCat-ID: 31369 | OA
Handlungsbedarf in fachmathematischen Veranstaltungen? – Spezielle Maßnahmen an der Universität Paderborn
A. Panse, J. Hilgert, M. Hoffmann, in: J. Roth, J. Ames (Eds.), Beiträge zum Mathematikunterricht 2014, WTM-Verlag, Münster, 2014, pp. 883–886.
LibreCat | DOI | Download (ext.)
 

2014 | Journal Article | LibreCat-ID: 51394
Minimal representations via Bessel operators
J. Hilgert, J. Möllers, T. Kobayashi, J. Math. Soc. Japan 66 (2014) 349–414.
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2014 | Journal Article | LibreCat-ID: 51393
Singular superspaces
J. Hilgert, T. Wurzbacher, A. Alldridge, Math. Z. 278 (2014) 441–492.
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2014 | Book Chapter | LibreCat-ID: 51466
The Radon transform and its dual for limits of symmetric spaces
J. Hilgert, G. Ólafsson, in: G. Mason, I. Penkov, J.A. Wolf (Eds.), Developments and Retrospectives in Lie Theory - Geometric and Analytic Methods, Springer, 2014.
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2014 | Book Chapter | LibreCat-ID: 51465
Schwierigkeiten von Studienanfängern, verschiedene Lehrmethoden und Fragen an die Didaktik
J. Hilgert, M. Hoffmann, A. Panse, in: J. Roth, J. Ames (Eds.), Beiträge zum Mathematikunterricht 2014, WTM Verlag, Münster, 2014.
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2014 | Preprint | LibreCat-ID: 51531 LibreCat | Download (ext.)
 

2013 | Journal Article | LibreCat-ID: 51395
Harmonic analysis on Heisenberg-Clifford Lie supergroups
J. Hilgert, M. Laubinger, A. Alldridge, J. London Math. Soc. 87 (2013) 561–585.
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2013 | Book (Editor) | LibreCat-ID: 51490
Arbeitsbuch Mathematik für das erste Studienjahr
J. Hilgert, ed., Arbeitsbuch Mathematik für das erste Studienjahr, Springer Spektrum, 2013.
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2013 | Book (Editor) | LibreCat-ID: 51491
Lesebuch Mathematik für das erste Studienjahr
J. Hilgert, ed., Lesebuch Mathematik für das erste Studienjahr, Springer Spektrum, 2013.
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2013 | Preprint | LibreCat-ID: 51532 LibreCat | Download (ext.)
 

2013 | Preprint | LibreCat-ID: 51533
Singular superspaces
J. Hilgert, A. Alldridge, T. Wurzbacher, (2013).
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2012 | Journal Article | LibreCat-ID: 51396
Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups
J. Hilgert, B. Orsted, J. Möllers, T. Kobayashi, J. Funct. Anal. 263 (2012) 3492–3563.
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2012 | Journal Article | LibreCat-ID: 51397
Integration on non-compact supermanifolds
J. Hilgert, W. Palzer, A. Alldridge, Journal of Geometry and Physics 62 (2012) 427–448.
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2012 | Journal Article | LibreCat-ID: 51398
Patterson-Sullivan distributions in higher rank
J. Hilgert, M. Schröder, S. Hansen, Math. Z. 272 (2012) 607–643.
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2012 | Book (Editor) | LibreCat-ID: 51492
Mathematik - Ein Reiseführer
J. Hilgert, I. Hilgert, eds., Mathematik - Ein Reiseführer, Springer Spektrum, 2012.
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2012 | Preprint | LibreCat-ID: 51534 LibreCat | Download (ext.)
 

2011 | Journal Article | LibreCat-ID: 51399
Orthogonal polynomials associated to a certain fourth order differential equation
J. Hilgert, J. Möllers, G. Mano, T. Kobayashi, Ramanujan J. 26 (2011) 295–310.
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2011 | Journal Article | LibreCat-ID: 51400
Special functions associated to a certain fourth order differential equation
J. Hilgert, J. Möllers, G. Mano, T. Kobayashi, Ramanujan J. 26 (2011) 1–34.
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2011 | Book (Editor) | LibreCat-ID: 51494
An Introduction to the Structure and Geometry of Lie Groups
J. Hilgert, K.-H. Neeb, eds., An Introduction to the Structure and Geometry of Lie Groups, Springer, New York, 2011.
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2011 | Preprint | LibreCat-ID: 51535
Minimal representations via Bessel operators
J. Hilgert, T. Kobayashi, J. Möllers, (2011).
LibreCat | Download (ext.)
 

2011 | Preprint | LibreCat-ID: 51538
Harmonic analysis on Heisenberg--Clifford Lie supergroups
J. Hilgert, A. Alldridge, M. Laubinger, (2011).
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2011 | Preprint | LibreCat-ID: 51537
Patterson--Sullivan distributions in higher rank
J. Hilgert, S. Hansen, M. Schröder, (2011).
LibreCat | Download (ext.)
 

2011 | Preprint | LibreCat-ID: 51536
Integration on Non-Compact Supermanifolds
J. Hilgert, A. Alldridge, W. Palzer, (2011).
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2010 | Journal Article | LibreCat-ID: 51402
Chevalley's Restriction Theorem for Reductive Symmetric Superpairs
J. Hilgert, M. Zirnbauer, A. Alldridge, J. Algebra 323 (2010) 1159–1185.
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2010 | Journal Article | LibreCat-ID: 51401
Invariant Berezin integration on homogeneous supermanifolds
J. Hilgert, A. Alldridge, J. Lie Theory 20 (2010) 65–91.
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2009 | Journal Article | LibreCat-ID: 51404
Resonances and Residue Operators for Symmetric Spaces of Rank One
J. Hilgert, A. Pasquale, J. Math. Pures Appl. 91 (2009) 495–507.
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2009 | Journal Article | LibreCat-ID: 51403
Asymptotic K-support and Restrictions of Representations
J. Hilgert, S. Keliny, S. Hansen, Representation Theory 13 (2009) 460–469.
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2009 | Journal Article | LibreCat-ID: 51405
Segal-Bargmann and Weyl Transforms on Compact Groups
J. Hilgert, G. Zhang, Monatsh. Math. 158 (2009) 85–305.
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2009 | Book Chapter | LibreCat-ID: 51467
Symbolic Dynamics for the Geodesic Flow on Locally Symmetric Orbifolds of Rank One
J. Hilgert, A. Pohl, in: J. Hilgert , et al. (Eds.), Infinite Dimensional Harmonic Analysis IV, World Scientific, Singapore, 2009.
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2009 | Preprint | LibreCat-ID: 51541
Orthogonal polynomials associated to a certain fourth order differential equation
J. Hilgert, T. Kobayashi, G. Mano, J. Möllers, (2009).
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2009 | Preprint | LibreCat-ID: 51542
Special functions associated to a certain fourth order differential equation
J. Hilgert, T. Kobayashi, G. Mano, J. Möllers, (2009).
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2009 | Preprint | LibreCat-ID: 51540 LibreCat | Download (ext.)
 

2009 | Preprint | LibreCat-ID: 51539 LibreCat | Download (ext.)
 

2009 | Preprint | LibreCat-ID: 51543
Asymptotic K-Support and Restrictions of Representations
J. Hilgert, S. Hansen, S. Keliny, (2009).
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2009 | Book (Editor) | LibreCat-ID: 51590
Infinite Dimensional Harmonic Analysis IV - On the Interplay between Representation Theory, Random Matrices, Special Functions, and Probability
J. Hilgert, A. Hora, T. Kawazoe, K. Nishiyama, M. Voit, eds., Infinite Dimensional Harmonic Analysis IV - On the Interplay between Representation Theory, Random Matrices, Special Functions, and Probability, World Scientific, 2009.
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