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401 Publications
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2016 | Journal Article | LibreCat-ID: 31289
Weich, T. (2016). On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows. Annales Henri Poincaré, 18(1), 37–52. https://doi.org/10.1007/s00023-016-0514-5
LibreCat
| DOI
| arXiv
2016 | Journal Article | LibreCat-ID: 38032
Rösler, M., & Voit, M. (2016). Integral representation and sharp asymptotic results for some Heckman-Opdam hypergeometric functions of type BC. Transactions of the American Mathematical Society, 368(8), 6005–6032. https://doi.org/10.48550/ARXIV.1402.5793
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| DOI
2016 | Journal Article | LibreCat-ID: 37663
Rösler, M., & Voit, M. (2016). A multivariate version of the disk convolution. Journal of Mathematical Analysis and Applications, 435(1), 701–717. https://doi.org/10.1016/j.jmaa.2015.10.062
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| DOI
2016 | Journal Article | LibreCat-ID: 40066
Bañuelos, R., Bogdan, K., & Luks, T. (2016). Hardy–Stein identities and square functions for semigroups. Journal of the London Mathematical Society, 94(2), 462–478. https://doi.org/10.1112/jlms/jdw042
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| DOI
2016 | Book Chapter | LibreCat-ID: 51464
Hilgert, J. (2016). Schwierigkeiten beim Übergang von Schule zu Hochschule im zeitlichen Vergleich - Ein Blick auf Defizite beim Erwerb von Schlüsselkompetenzen. In A. Hoppenbrock & et al. (Eds.), Lehren und Lernen von Mathematik in der Studieneingangsphase. Springer Spektrum.
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2016 | Book Chapter | LibreCat-ID: 51463
Hilgert, J., Pasquale, A., & Przebinda, T. (2016). Resonances for the Laplacian: the cases BC2 and C2 (except SO(p,2) with p>2 odd). In P. Kielanowski & et al. (Eds.), Geometric Methods in Physics. Birkhäuser.
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2016 | Book (Editor) | LibreCat-ID: 51489
Hilgert, J. (Ed.). (2016). Mathematische Strukturen. Springer Spektrum.
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2015 | Journal Article | LibreCat-ID: 31291
ARNOLDI, J. F., FAURE, F., & Weich, T. (2015). Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps. Ergodic Theory and Dynamical Systems, 37(1), 1–58. https://doi.org/10.1017/etds.2015.34
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| DOI
| arXiv
2015 | Journal Article | LibreCat-ID: 31293
Weich, T. (2015). Resonance Chains and Geometric Limits on Schottky Surfaces. Communications in Mathematical Physics, 337(2), 727–765. https://doi.org/10.1007/s00220-015-2359-z
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| DOI
| arXiv
2015 | Journal Article | LibreCat-ID: 38037
Rösler, M., & Voit, M. (2015). A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian. Symmetry, Integrability and Geometry: Methods and Applications, 11(013), 18pp. https://doi.org/10.3842/sigma.2015.013
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| DOI
2015 | Conference Paper | LibreCat-ID: 31368
Hilgert, J., Hoffmann, M., & Panse, A. (2015). Kann professorale Lehre tutoriell sein? Ein Modellversuch zur Einführung in mathematisches Denken und Arbeiten. In W. Paravicini & J. Schnieder (Eds.), Tagungsband zum Hansekolloquium zur Hochschuldidaktik der Mathematik. (pp. 23–26). WTM-Verlag.
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2015 | Book | LibreCat-ID: 31373
Hilgert, J., Hoffmann, M., & Panse, A. (2015). Einführung in mathematisches Denken und Arbeiten: tutoriell und transparent. Springer. https://doi.org/10.1007/978-3-662-45512-8
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2015 | Preprint | LibreCat-ID: 51526
Hilgert, J., Pasquale, A., & Przebinda, T. (2015). Resonances for the Laplacian: the cases BC2 and C2 (except over SOo(p,2), p>0 odd).
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2015 | Preprint | LibreCat-ID: 51527
Hilgert, J., Manon, C., & Martens, J. (2015). Contraction of Hamiltonian K-spaces.
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2015 | Preprint | LibreCat-ID: 51529
Hilgert, J., Pasquale, A., & Przebinda, T. (2015). Resonances for the Laplacian of products of two rank one Riemannian symmetric spaces.
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2015 | Preprint | LibreCat-ID: 51530
Hilgert, J., Alldridge, A., & Wurzbacher, T. (2015). Superorbits.
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2014 | Journal Article | LibreCat-ID: 31294
Weich, T. (2014). Equivariant spectral asymptotics forh-pseudodifferential operators. Journal of Mathematical Physics, 55(10), Article 101501. https://doi.org/10.1063/1.4896698
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| DOI
| arXiv
2014 | Journal Article | LibreCat-ID: 31296
Barkhofen, S., Faure, F., & Weich, T. (2014). Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum. Nonlinearity, 27(8), 1829–1858. https://doi.org/10.1088/0951-7715/27/8/1829
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| DOI
| arXiv
2014 | Journal Article | LibreCat-ID: 31297
Weich, T., Barkhofen, S., Kuhl, U., Poli, C., & Schomerus, H. (2014). Formation and interaction of resonance chains in the open three-disk system. New Journal of Physics, 16(3), Article 033029. https://doi.org/10.1088/1367-2630/16/3/033029
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| DOI
| arXiv
2014 | Journal Article | LibreCat-ID: 37667
Rösler, M., & Remling, H. (2014). Convolution algebras for Heckman–Opdam polynomials derived from compact Grassmannians. Journal of Approximation Theory, 197, 30–48. https://doi.org/10.1016/j.jat.2014.07.005
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| DOI
2014 | Journal Article | LibreCat-ID: 40068
Bogdan, K., Dyda, B., & Luks, T. (2014). On Hardy spaces of local and nonlocal operators. Hiroshima Mathematical Journal, 44(2), 193–215. https://doi.org/10.32917/hmj/1408972907
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| DOI
2014 | Conference Paper | LibreCat-ID: 31369 | 
Panse, A., Hilgert, J., & Hoffmann, M. (2014). Handlungsbedarf in fachmathematischen Veranstaltungen? – Spezielle Maßnahmen an der Universität Paderborn. In J. Roth & J. Ames (Eds.), Beiträge zum Mathematikunterricht 2014 (pp. 883–886). WTM-Verlag. https://doi.org/10.17877/DE290R-15591
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2014 | Journal Article | LibreCat-ID: 51394
Hilgert, J., Möllers, J., & Kobayashi, T. (2014). Minimal representations via Bessel operators. J. Math. Soc. Japan, 66, 349–414.
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2014 | Journal Article | LibreCat-ID: 51393
Hilgert, J., Wurzbacher, T., & Alldridge, A. (2014). Singular superspaces. Math. Z., 278, 441–492.
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2014 | Book Chapter | LibreCat-ID: 51466
Hilgert, J., & Ólafsson, G. (2014). The Radon transform and its dual for limits of symmetric spaces. In G. Mason, I. Penkov, & J. A. Wolf (Eds.), Developments and Retrospectives in Lie Theory - Geometric and Analytic Methods (Vol. 37). Springer.
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2014 | Book Chapter | LibreCat-ID: 51465
Hilgert, J., Hoffmann, M., & Panse, A. (2014). Schwierigkeiten von Studienanfängern, verschiedene Lehrmethoden und Fragen an die Didaktik. In J. Roth & J. Ames (Eds.), Beiträge zum Mathematikunterricht 2014. WTM Verlag.
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2014 | Preprint | LibreCat-ID: 51531
Hilgert, J., Pasquale, A., & Przebinda, T. (2014). Resonances for the Laplacian on Riemannian symmetric spaces: the case of SL(3,R)/SO(3).
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2014 | Journal Article | LibreCat-ID: 32025
Küster, B. (2014). Discontinuity of the Fuglede-Kadison determinant on a group von Neumann algebra. Communications in Mathematics, 22(2), 141–149.
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2013 | Journal Article | LibreCat-ID: 31298
Barkhofen, S., Weich, T., Potzuweit, A., Stöckmann, H.-J., Kuhl, U., & Zworski, M. (2013). Experimental Observation of the Spectral Gap in Microwave n-Disk Systems. Physical Review Letters, 110(16), Article 164102. https://doi.org/10.1103/physrevlett.110.164102
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| DOI
| arXiv
2013 | Journal Article | LibreCat-ID: 37672
Rösler, M., Koornwinder, T., & Voit, M. (2013). Limit transition between hypergeometric functions of type BC and type A. Compositio Mathematica, 149(8), 1381–1400. https://doi.org/10.1112/s0010437x13007045
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| DOI
2013 | Journal Article | LibreCat-ID: 38038
Rösler, M., & Voit, M. (2013). Olshanski spherical functions for infinite dimensional motion groups of fixed rank. Journal of Lie Theory 23, 4, 899--920. https://doi.org/10.48550/ARXIV.1210.1351
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| DOI
2013 | Journal Article | LibreCat-ID: 40072
Luks, T. (2013). Boundary Behavior of α-Harmonic Functions on the Complement of the Sphere and Hyperplane. Potential Analysis, 39(1), 29–67. https://doi.org/10.1007/s11118-012-9321-x
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| DOI
2013 | Journal Article | LibreCat-ID: 40070
Graczyk, P., Jakubowski, T., & Luks, T. (2013). Martin representation and Relative Fatou Theorem for fractional Laplacian with a gradient perturbation. Positivity, 17(4), 1043–1070. https://doi.org/10.1007/s11117-012-0220-6
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| DOI
2013 | Journal Article | LibreCat-ID: 51395
Hilgert, J., Laubinger, M., & Alldridge, A. (2013). Harmonic analysis on Heisenberg-Clifford Lie supergroups. J. London Math. Soc., 87, 561–585.
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2013 | Book (Editor) | LibreCat-ID: 51490
Hilgert, J. (Ed.). (2013). Arbeitsbuch Mathematik für das erste Studienjahr. Springer Spektrum.
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2013 | Book (Editor) | LibreCat-ID: 51491
Hilgert, J. (Ed.). (2013). Lesebuch Mathematik für das erste Studienjahr. Springer Spektrum.
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2013 | Preprint | LibreCat-ID: 51532
Hilgert, J., & Ólafsson, G. (2013). The Radon transform and its dual for limits of symmetric spaces.
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2013 | Preprint | LibreCat-ID: 51533
Hilgert, J., Alldridge, A., & Wurzbacher, T. (2013). Singular superspaces.
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2012 | Journal Article | LibreCat-ID: 31300
Potzuweit, A., Weich, T., Barkhofen, S., Kuhl, U., Stöckmann, H.-J., & Zworski, M. (2012). Weyl asymptotics: From closed to open systems. Physical Review E, 86(6), Article 066205. https://doi.org/10.1103/physreve.86.066205
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| DOI
| arXiv
2012 | Journal Article | LibreCat-ID: 51396
Hilgert, J., Orsted, B., Möllers, J., & Kobayashi, T. (2012). Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups. J. Funct. Anal., 263, 3492–3563.
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2012 | Journal Article | LibreCat-ID: 51397
Hilgert, J., Palzer, W., & Alldridge, A. (2012). Integration on non-compact supermanifolds. Journal of Geometry and Physics, 62, 427–448.
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2012 | Journal Article | LibreCat-ID: 51398
Hilgert, J., Schröder, M., & Hansen, S. (2012). Patterson-Sullivan distributions in higher rank. Math. Z., 272, 607–643.
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2012 | Book (Editor) | LibreCat-ID: 51492
Hilgert, J., & Hilgert, I. (Eds.). (2012). Mathematik - Ein Reiseführer. Springer Spektrum.
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2012 | Preprint | LibreCat-ID: 51534
Hilgert, J., Kobayashi, T., Möllers, J., & Orsted, B. (2012). Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups.
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2011 | Journal Article | LibreCat-ID: 40073
Luks, T. (2011). Hardy spaces for the Laplacian with lower order perturbations. Studia Mathematica, 204(1), 39–62. https://doi.org/10.4064/sm204-1-3
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| DOI
2011 | Journal Article | LibreCat-ID: 39911
Rösler, M., & Remling, H. (2011). The Heat Semigroup in the Compact Heckman-Opdam Setting and the Segal-Bargmann Transform. International Mathematics Research Notices, 18, 4200–4225. https://doi.org/10.1093/imrn/rnq239
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| DOI
2011 | Journal Article | LibreCat-ID: 39921
Rösler, M., & Voit, M. (2011). Limit theorems for radial random walks on p × q-matrices as p tends to infinity. Mathematische Nachrichten, 284(1), 87–104. https://doi.org/10.1002/mana.200710235
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| DOI
2011 | Journal Article | LibreCat-ID: 51399
Hilgert, J., Möllers, J., Mano, G., & Kobayashi, T. (2011). Orthogonal polynomials associated to a certain fourth order differential equation. Ramanujan J., 26, 295–310.
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2011 | Journal Article | LibreCat-ID: 51400
Hilgert, J., Möllers, J., Mano, G., & Kobayashi, T. (2011). Special functions associated to a certain fourth order differential equation. Ramanujan J., 26, 1–34.
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2011 | Book (Editor) | LibreCat-ID: 51494
Hilgert, J., & Neeb, K.-H. (Eds.). (2011). An Introduction to the Structure and Geometry of Lie Groups. Springer.
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2011 | Preprint | LibreCat-ID: 51535
Hilgert, J., Kobayashi, T., & Möllers, J. (2011). Minimal representations via Bessel operators.
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2011 | Preprint | LibreCat-ID: 51538
Hilgert, J., Alldridge, A., & Laubinger, M. (2011). Harmonic analysis on Heisenberg--Clifford Lie supergroups.
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2011 | Preprint | LibreCat-ID: 51537
Hilgert, J., Hansen, S., & Schröder, M. (2011). Patterson--Sullivan distributions in higher rank.
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2011 | Preprint | LibreCat-ID: 51536
Hilgert, J., Alldridge, A., & Palzer, W. (2011). Integration on Non-Compact Supermanifolds.
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2010 | Journal Article | LibreCat-ID: 39924
Rösler, M. (2010). Positive convolution structure for a class of Heckman–Opdam hypergeometric functions of type BC. Journal of Functional Analysis, 258(8), 2779–2800. https://doi.org/10.1016/j.jfa.2009.12.007
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| DOI
2010 | Journal Article | LibreCat-ID: 51402
Hilgert, J., Zirnbauer, M., & Alldridge, A. (2010). Chevalley’s Restriction Theorem for Reductive Symmetric Superpairs. J. Algebra, 323, 1159–1185.
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2010 | Journal Article | LibreCat-ID: 51401
Hilgert, J., & Alldridge, A. (2010). Invariant Berezin integration on homogeneous supermanifolds. J. Lie Theory, 20, 65–91.
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2009 | Conference Paper | LibreCat-ID: 39950
Rösler, M. (2009). Convolution algebras for multivariable Bessel functions. Infinite Dimensional Harmonic Analysis IV, 255–271. https://doi.org/10.1142/9789812832825_0017
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| DOI
2009 | Journal Article | LibreCat-ID: 51404
Hilgert, J., & Pasquale, A. (2009). Resonances and Residue Operators for Symmetric Spaces of Rank One. J. Math. Pures Appl., 91, 495–507.
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2009 | Journal Article | LibreCat-ID: 51403
Hilgert, J., Keliny, S., & Hansen, S. (2009). Asymptotic K-support and Restrictions of Representations. Representation Theory, 13, 460–469.
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2009 | Journal Article | LibreCat-ID: 51405
Hilgert, J., & Zhang, G. (2009). Segal-Bargmann and Weyl Transforms on Compact Groups. Monatsh. Math., 158, 85–305.
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2009 | Book Chapter | LibreCat-ID: 51467
Hilgert, J., & Pohl, A. (2009). Symbolic Dynamics for the Geodesic Flow on Locally Symmetric Orbifolds of Rank One. In J. Hilgert & et al. (Eds.), Infinite Dimensional Harmonic Analysis IV. World Scientific.
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2009 | Preprint | LibreCat-ID: 51541
Hilgert, J., Kobayashi, T., Mano, G., & Möllers, J. (2009). Orthogonal polynomials associated to a certain fourth order differential equation.
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2009 | Preprint | LibreCat-ID: 51542
Hilgert, J., Kobayashi, T., Mano, G., & Möllers, J. (2009). Special functions associated to a certain fourth order differential equation.
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2009 | Preprint | LibreCat-ID: 51540
Hilgert, J., & Schröder, M. (2009). Patterson--Sullivan distributions for rank one symmetric spaces of the noncompact type.
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2009 | Preprint | LibreCat-ID: 51539
Hilgert, J., & Alldridge, A. (2009). Invariant Berezin integration on homogeneous supermanifolds.
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2009 | Preprint | LibreCat-ID: 51543
Hilgert, J., Hansen, S., & Keliny, S. (2009). Asymptotic K-Support and Restrictions of Representations.
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2009 | Book (Editor) | LibreCat-ID: 51590
Hilgert, J., Hora, A., Kawazoe, T., Nishiyama, K., & Voit, M. (Eds.). (2009). Infinite Dimensional Harmonic Analysis IV - On the Interplay between Representation Theory, Random Matrices, Special Functions, and Probability. World Scientific.
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2008 | Journal Article | LibreCat-ID: 39941
Rösler, M., & Voit, M. (2008). A Limit Relation for Dunkl-Bessel Functions of Type A and B. Symmetry, Integrability and Geometry: Methods and Applications, 4(083), 9pp. https://doi.org/10.3842/sigma.2008.083
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| DOI
2008 | Journal Article | LibreCat-ID: 51407
Hilgert, J., & Rilke, F. (2008). Meromorphic Continuation of Dynamical Zeta Functions via Transfer Operators. J. Funct. Anal., 254, 476–505.
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2008 | Journal Article | LibreCat-ID: 51406
Hilgert, J. (2008). Mayer’s Transfer Operator and Representations of SL(2). Semigroup Forum, 77, 64–85.
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2008 | Preprint | LibreCat-ID: 51546
Hilgert, J., & Pohl , A. D. (2008). Symbolic dynamics for the geodesic flow on locally symmetric orbifolds of rank one.
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2008 | Preprint | LibreCat-ID: 51544
Hilgert, J., Alldridge, A., & Zirnbauer, M. (2008). Chevalley’s restriction theorem for reductive symmetric superpairs.
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2008 | Preprint | LibreCat-ID: 51545
Hilgert, J. (2008). Attractor Networks on Complex Flag Manifolds.
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2008 | Book Review | LibreCat-ID: 51602
Hilgert, J. (2008). Faraut, J. Analysis on Lie Groups (Cambridge University Press, 2008). In Math. Reviews.
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2007 | Journal Article | LibreCat-ID: 39947
Rösler, M. (2007). Bessel convolutions on matrix cones. Compositio Mathematica, 143(03), 749–779. https://doi.org/10.1112/s0010437x06002594
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| DOI
2007 | Journal Article | LibreCat-ID: 51408
Hilgert, J., & Deitmar, A. (2007). The Lewis Correspondence for Submodular Groups. Forum Math., 19, 1075–1099.
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2007 | Preprint | LibreCat-ID: 51547
Hilgert, J., & Rilke, F. (2007). Meromorphic continuation of dynamical zeta functions via transfer operators.
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2007 | Book Review | LibreCat-ID: 51601
Hilgert, J. (2007). Wolf, J..A. Harmonic Analysis on Commutative Spaces (AMS, 2007). In Math. Reviews.
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2007 | Book Review | LibreCat-ID: 51600
Hilgert, J. (2007). Procesi, C. Lie Groups (Springer, 2007). In JBer. DMV.
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2006 | Journal Article | LibreCat-ID: 39948
Rösler, M., & Voit, M. (2006). SU(d)-Biinvariant Random Walks on SL(d,C) and their Euclidean Counterparts. Acta Applicandae Mathematicae, 90(1–2), 179–195. https://doi.org/10.1007/s10440-006-9035-4
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| DOI
2006 | Book Review | LibreCat-ID: 51577
Hilgert, J. (2006). Adler, M., P. Moerbeke, P. Vanhaecke. Algebraic integrability, Painlevé geometry and Lie algebras (Springer, 2004). In JBer. DMV (Vol. 108).
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2006 | Book Review | LibreCat-ID: 51599
Hilgert, J. (2006). Stroppel, M. Topological groups (EMS, 2006). In Zentralblatt für Math.
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2005 | Journal Article | LibreCat-ID: 39951
Rösler, M., & Rauhut, H. (2005). Radial Multiresolution in Dimension Three. Constructive Approximation, 22(2), 193–218. https://doi.org/10.1007/s00365-004-0587-0
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| DOI
2005 | Conference Paper | LibreCat-ID: 39949
Rösler, M., & VOIT, M. (2005). Deformations of convolution semigroups on commutative hypergroups. Infinite Dimensional Harmonic Analysis III, 249–264. https://doi.org/10.1142/9789812701503_0016
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| DOI
2005 | Book Chapter | LibreCat-ID: 51468
Hilgert, J. (2005). An Ergodic Arnold-Liouville Theorem for Symmetric Spaces. In S. T. Ali & et al. (Eds.), Twenty Years of Bialowieza: A Mathematical Antology. World Scientific.
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2005 | Journal Article | LibreCat-ID: 51410
Hilgert, J., Movasati, H., & Mayer, D. (2005). Transfer Operators for Gamma_0(n) and the Hecke Operators for the Period Functions of PSL(2,Z). Math. Proc. Camb. Phil. Soc., 139, 81–116.
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2005 | Book Review | LibreCat-ID: 51578
Hilgert, J. (2005). Dungey, N., A. ter Elst, D. Robinson. Analysis on Lie Groups with Polynomial Growth (Birkhäuser, Boston, 2003). In JBer. DMV (Vol. 107).
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2005 | Journal Article | LibreCat-ID: 51409
Hilgert, J., & Deitmar, A. (2005). Cohomology of Arithmetic Groups with Infinite Dimensional Coefficient Spaces. Documanta Math., 10, 199–216.
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2004 | Journal Article | LibreCat-ID: 40320
Rösler, M., & Voit, M. (2004). Positivity of Dunkl’s intertwining operator via the trigonometric setting. International Mathematics Research Notices, 63, 3379–3389. https://doi.org/10.48550/ARXIV.MATH/0405368
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| DOI
2004 | Book Chapter | LibreCat-ID: 51469
Hilgert, J., & Mayer, D. (2004). The Dynamical Zeta Function and Transfer Operators for the Kac-Baker Model. In M. Agranowsky & et al. (Eds.), Complex Analysis and Dynamical Systems (Vol. 364).
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2004 | Preprint | LibreCat-ID: 51548
Hilgert, J., & Deitmar, A. (2004). The Lewis Correspondence for submodular groups.
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2003 | Book Chapter | LibreCat-ID: 39956
Rösler, M. (2003). Dunkl Operators: Theory and Applications. In Lecture Notes in Mathematics (pp. 93–135). Springer Berlin Heidelberg. https://doi.org/10.1007/3-540-44945-0_3
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| DOI
2003 | Journal Article | LibreCat-ID: 39957
Rösler, M. (2003). A positive radial product formula for the Dunkl kernel. Transactions of the American Mathematical Society, 355(6), 2413–2438. https://doi.org/10.48550/ARXIV.MATH/0210137
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2003 | Journal Article | LibreCat-ID: 51411
Hilgert, J., Vinberg, E. B., & Pasquale, A. (2003). The Dual Horospherical Radon Transform as a Limit of Spherical Radon Transforms. AMS Translations, 210, 135–143.
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2003 | Preprint | LibreCat-ID: 51550
Hilgert, J., Mayer, D., & Movasati, H. (2003). Transfer operators for Γ0(n) and the Hecke operators for the period functions for PSL(2,Z).
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2003 | Preprint | LibreCat-ID: 51549
Hilgert, J., & Deitmar, A. (2003). Cohomology of arithmetic groups with infinite dimensional coefficient spaces.
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2002 | Journal Article | LibreCat-ID: 39959
Rösler, M., & de Jeu, M. (2002). Asymptotic Analysis for the Dunkl Kernel. Journal of Approximation Theory, 119(1), 110–126. https://doi.org/10.1006/jath.2002.3722
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| DOI
2002 | Book Chapter | LibreCat-ID: 51470
Hilgert, J. (2002). Representation Theory of Lie Groups. In A. V. Mikhalev & G. F. Pilz (Eds.), Handbook on the Heart of Algebra. Kluwer.
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2002 | Book Chapter | LibreCat-ID: 51471
Hilgert, J. (2002). Lie Groups. In A. V. Mikhalev & G. F. Pilz (Eds.), Handbook on the Heart of Algebra. Kluwer.
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