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401 Publications


2016 | Journal Article | LibreCat-ID: 31289
Weich T. On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows. Annales Henri Poincaré. 2016;18(1):37-52. doi:10.1007/s00023-016-0514-5
LibreCat | DOI | arXiv
 

2016 | Journal Article | LibreCat-ID: 38032
Rösler M, Voit M. Integral representation and sharp asymptotic results for some Heckman-Opdam hypergeometric functions of type BC. Transactions of the American Mathematical Society. 2016;368(8):6005-6032. doi:10.48550/ARXIV.1402.5793
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2016 | Journal Article | LibreCat-ID: 37663
Rösler M, Voit M. A multivariate version of the disk convolution. Journal of Mathematical Analysis and Applications. 2016;435(1):701-717. doi:10.1016/j.jmaa.2015.10.062
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2016 | Journal Article | LibreCat-ID: 40066
Bañuelos R, Bogdan K, Luks T. Hardy–Stein identities and square functions for semigroups. Journal of the London Mathematical Society. 2016;94(2):462-478. doi:10.1112/jlms/jdw042
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2016 | Book Chapter | LibreCat-ID: 51464
Hilgert J. Schwierigkeiten beim Übergang von Schule zu Hochschule im zeitlichen Vergleich - Ein Blick auf Defizite beim Erwerb von Schlüsselkompetenzen. In: Hoppenbrock A, et al., eds. Lehren und Lernen von Mathematik in der Studieneingangsphase. Springer Spektrum; 2016.
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2016 | Book Chapter | LibreCat-ID: 51463
Hilgert J, Pasquale A, Przebinda T. Resonances for the Laplacian: the cases BC2 and C2 (except SO(p,2) with p>2 odd). In: Kielanowski P, et al., eds. Geometric Methods in Physics. Birkhäuser; 2016.
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2016 | Book (Editor) | LibreCat-ID: 51489
Hilgert J, ed. Mathematische Strukturen. Springer Spektrum; 2016.
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2015 | Journal Article | LibreCat-ID: 31291
ARNOLDI JF, FAURE F, Weich T. Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps. Ergodic Theory and Dynamical Systems. 2015;37(1):1-58. doi:10.1017/etds.2015.34
LibreCat | DOI | arXiv
 

2015 | Journal Article | LibreCat-ID: 31293
Weich T. Resonance Chains and Geometric Limits on Schottky Surfaces. Communications in Mathematical Physics. 2015;337(2):727-765. doi:10.1007/s00220-015-2359-z
LibreCat | DOI | arXiv
 

2015 | Journal Article | LibreCat-ID: 38037
Rösler M, Voit M. A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian. Symmetry, Integrability and Geometry: Methods and Applications. 2015;11(013):18pp. doi:10.3842/sigma.2015.013
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2015 | Conference Paper | LibreCat-ID: 31368
Hilgert J, Hoffmann M, Panse A. Kann professorale Lehre tutoriell sein? Ein Modellversuch zur Einführung in mathematisches Denken und Arbeiten. In: Paravicini W, Schnieder J, eds. Tagungsband Zum Hansekolloquium Zur Hochschuldidaktik Der Mathematik. WTM-Verlag; 2015:23–26.
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2015 | Book | LibreCat-ID: 31373
Hilgert J, Hoffmann M, Panse A. Einführung in mathematisches Denken und Arbeiten: tutoriell und transparent. Springer; 2015. doi:10.1007/978-3-662-45512-8
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2015 | Preprint | LibreCat-ID: 51526
Hilgert J, Pasquale A, Przebinda T. Resonances for the Laplacian: the cases BC2 and C2 (except over SOo(p,2), p>0 odd). Published online 2015.
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2015 | Preprint | LibreCat-ID: 51527
Hilgert J, Manon C, Martens J. Contraction of Hamiltonian K-spaces. Published online 2015.
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2015 | Preprint | LibreCat-ID: 51529
Hilgert J, Pasquale A, Przebinda T. Resonances for the Laplacian of products of two rank one Riemannian symmetric spaces. Published online 2015.
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2015 | Preprint | LibreCat-ID: 51530
Hilgert J, Alldridge A, Wurzbacher T. Superorbits. Published online 2015.
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2014 | Journal Article | LibreCat-ID: 31294
Weich T. Equivariant spectral asymptotics forh-pseudodifferential operators. Journal of Mathematical Physics. 2014;55(10). doi:10.1063/1.4896698
LibreCat | DOI | arXiv
 

2014 | Journal Article | LibreCat-ID: 31296
Barkhofen S, Faure F, Weich T. Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum. Nonlinearity. 2014;27(8):1829-1858. doi:10.1088/0951-7715/27/8/1829
LibreCat | DOI | arXiv
 

2014 | Journal Article | LibreCat-ID: 31297
Weich T, Barkhofen S, Kuhl U, Poli C, Schomerus H. Formation and interaction of resonance chains in the open three-disk system. New Journal of Physics. 2014;16(3). doi:10.1088/1367-2630/16/3/033029
LibreCat | DOI | arXiv
 

2014 | Journal Article | LibreCat-ID: 37667
Rösler M, Remling H. Convolution algebras for Heckman–Opdam polynomials derived from compact Grassmannians. Journal of Approximation Theory. 2014;197:30-48. doi:10.1016/j.jat.2014.07.005
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2014 | Journal Article | LibreCat-ID: 40068
Bogdan K, Dyda B, Luks T. On Hardy spaces of local and nonlocal operators. Hiroshima Mathematical Journal. 2014;44(2):193-215. doi:10.32917/hmj/1408972907
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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
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2014 | Journal Article | LibreCat-ID: 51394
Hilgert J, Möllers J, Kobayashi T. Minimal representations via Bessel operators. J Math Soc Japan. 2014;66:349-414.
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2014 | Journal Article | LibreCat-ID: 51393
Hilgert J, Wurzbacher T, Alldridge A. Singular superspaces. Math Z. 2014;278:441-492.
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2014 | Book Chapter | LibreCat-ID: 51466
Hilgert J, Ólafsson G. The Radon transform and its dual for limits of symmetric spaces. In: Mason G, Penkov I, Wolf JA, eds. Developments and Retrospectives in Lie Theory - Geometric and Analytic Methods. Vol 37. Developments in Mathematics. Springer; 2014.
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2014 | Book Chapter | LibreCat-ID: 51465
Hilgert J, Hoffmann M, Panse A. Schwierigkeiten von Studienanfängern, verschiedene Lehrmethoden und Fragen an die Didaktik. In: Roth J, Ames J, eds. Beiträge zum Mathematikunterricht 2014. WTM Verlag; 2014.
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2014 | Preprint | LibreCat-ID: 51531
Hilgert J, Pasquale A, Przebinda T. Resonances for the Laplacian on Riemannian symmetric spaces: the case of SL(3,R)/SO(3). Published online 2014.
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2014 | Journal Article | LibreCat-ID: 32025
Küster B. Discontinuity of the Fuglede-Kadison determinant on a group von Neumann algebra. Communications in Mathematics. 2014;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. Experimental Observation of the Spectral Gap in Microwave n-Disk Systems. Physical Review Letters. 2013;110(16). doi:10.1103/physrevlett.110.164102
LibreCat | DOI | arXiv
 

2013 | Journal Article | LibreCat-ID: 37672
Rösler M, Koornwinder T, Voit M. Limit transition between hypergeometric functions of type BC and type A. Compositio Mathematica. 2013;149(8):1381-1400. doi:10.1112/s0010437x13007045
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2013 | Journal Article | LibreCat-ID: 38038
Rösler M, Voit M. Olshanski spherical functions for infinite dimensional motion groups of fixed rank. Journal of Lie Theory 23. 2013;(4):899--920. doi:10.48550/ARXIV.1210.1351
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2013 | Journal Article | LibreCat-ID: 40072
Luks T. Boundary Behavior of α-Harmonic Functions on the Complement of the Sphere and Hyperplane. Potential Analysis. 2013;39(1):29-67. doi:10.1007/s11118-012-9321-x
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2013 | Journal Article | LibreCat-ID: 40070
Graczyk P, Jakubowski T, Luks T. Martin representation and Relative Fatou Theorem for fractional Laplacian with a gradient perturbation. Positivity. 2013;17(4):1043-1070. doi:10.1007/s11117-012-0220-6
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2013 | Journal Article | LibreCat-ID: 51395
Hilgert J, Laubinger M, Alldridge A. Harmonic analysis on Heisenberg-Clifford Lie supergroups. J London Math Soc. 2013;87:561-585.
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2013 | Book (Editor) | LibreCat-ID: 51490
Hilgert J, ed. Arbeitsbuch Mathematik für das erste Studienjahr. Springer Spektrum; 2013.
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2013 | Book (Editor) | LibreCat-ID: 51491
Hilgert J, ed. Lesebuch Mathematik für das erste Studienjahr. Springer Spektrum; 2013.
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2013 | Preprint | LibreCat-ID: 51532
Hilgert J, Ólafsson G. The Radon transform and its dual for limits of symmetric spaces. Published online 2013.
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2013 | Preprint | LibreCat-ID: 51533
Hilgert J, Alldridge A, Wurzbacher T. Singular superspaces. Published online 2013.
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2012 | Journal Article | LibreCat-ID: 31300
Potzuweit A, Weich T, Barkhofen S, Kuhl U, Stöckmann H-J, Zworski M. Weyl asymptotics: From closed to open systems. Physical Review E. 2012;86(6). doi:10.1103/physreve.86.066205
LibreCat | DOI | arXiv
 

2012 | Journal Article | LibreCat-ID: 51396
Hilgert J, Orsted B, Möllers J, Kobayashi T. Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups. J Funct Anal. 2012;263:3492-3563.
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2012 | Journal Article | LibreCat-ID: 51397
Hilgert J, Palzer W, Alldridge A. Integration on non-compact supermanifolds. Journal of Geometry and Physics. 2012;62:427-448.
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2012 | Journal Article | LibreCat-ID: 51398
Hilgert J, Schröder M, Hansen S. Patterson-Sullivan distributions in higher rank. Math Z. 2012;272:607-643.
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2012 | Book (Editor) | LibreCat-ID: 51492
Hilgert J, Hilgert I, eds. Mathematik - Ein Reiseführer. Springer Spektrum; 2012.
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2012 | Preprint | LibreCat-ID: 51534
Hilgert J, Kobayashi T, Möllers J, Orsted B. Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups. Published online 2012.
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2011 | Journal Article | LibreCat-ID: 40073
Luks T. Hardy spaces for the Laplacian with lower order perturbations. Studia Mathematica. 2011;204(1):39-62. doi:10.4064/sm204-1-3
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2011 | Journal Article | LibreCat-ID: 39911
Rösler M, Remling H. The Heat Semigroup in the Compact Heckman-Opdam Setting and the Segal-Bargmann Transform. International Mathematics Research Notices. 2011;(18):4200–4225. doi:10.1093/imrn/rnq239
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2011 | Journal Article | LibreCat-ID: 39921
Rösler M, Voit M. Limit theorems for radial random walks on p × q-matrices as p tends to infinity. Mathematische Nachrichten. 2011;284(1):87-104. doi:10.1002/mana.200710235
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2011 | Journal Article | LibreCat-ID: 51399
Hilgert J, Möllers J, Mano G, Kobayashi T. Orthogonal polynomials associated to a certain fourth order differential equation. Ramanujan J. 2011;26:295-310.
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2011 | Journal Article | LibreCat-ID: 51400
Hilgert J, Möllers J, Mano G, Kobayashi T. Special functions associated to a certain fourth order differential equation. Ramanujan J. 2011;26:1-34.
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2011 | Book (Editor) | LibreCat-ID: 51494
Hilgert J, Neeb K-H, eds. An Introduction to the Structure and Geometry of Lie Groups. Springer; 2011.
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2011 | Preprint | LibreCat-ID: 51535
Hilgert J, Kobayashi T, Möllers J. Minimal representations via Bessel operators. Published online 2011.
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2011 | Preprint | LibreCat-ID: 51538
Hilgert J, Alldridge A, Laubinger M. Harmonic analysis on Heisenberg--Clifford Lie supergroups. Published online 2011.
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2011 | Preprint | LibreCat-ID: 51537
Hilgert J, Hansen S, Schröder M. Patterson--Sullivan distributions in higher rank. Published online 2011.
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2011 | Preprint | LibreCat-ID: 51536
Hilgert J, Alldridge A, Palzer W. Integration on Non-Compact Supermanifolds. Published online 2011.
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2010 | Journal Article | LibreCat-ID: 39924
Rösler M. Positive convolution structure for a class of Heckman–Opdam hypergeometric functions of type BC. Journal of Functional Analysis. 2010;258(8):2779-2800. doi:10.1016/j.jfa.2009.12.007
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2010 | Journal Article | LibreCat-ID: 51402
Hilgert J, Zirnbauer M, Alldridge A. Chevalley’s Restriction Theorem for Reductive Symmetric Superpairs. J Algebra. 2010;323:1159-1185.
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2010 | Journal Article | LibreCat-ID: 51401
Hilgert J, Alldridge A. Invariant Berezin integration on homogeneous supermanifolds. J Lie Theory. 2010;20:65-91.
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2009 | Conference Paper | LibreCat-ID: 39950
Rösler M. Convolution algebras for multivariable Bessel functions. In: Infinite Dimensional Harmonic Analysis IV. World Scientific; 2009:255–271. doi:10.1142/9789812832825_0017
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2009 | Journal Article | LibreCat-ID: 51404
Hilgert J, Pasquale A. Resonances and Residue Operators for Symmetric Spaces of Rank One. J Math Pures Appl. 2009;91:495-507.
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2009 | Journal Article | LibreCat-ID: 51403
Hilgert J, Keliny S, Hansen S. Asymptotic K-support and Restrictions of Representations. Representation Theory. 2009;13:460-469.
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2009 | Journal Article | LibreCat-ID: 51405
Hilgert J, Zhang G. Segal-Bargmann and Weyl Transforms on Compact Groups. Monatsh Math. 2009;158:85-305.
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2009 | Book Chapter | LibreCat-ID: 51467
Hilgert J, Pohl A. Symbolic Dynamics for the Geodesic Flow on Locally Symmetric Orbifolds of Rank One. In: Hilgert J, et al., eds. Infinite Dimensional Harmonic Analysis IV. World Scientific; 2009.
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2009 | Preprint | LibreCat-ID: 51541
Hilgert J, Kobayashi T, Mano G, Möllers J. Orthogonal polynomials associated to a certain fourth order differential equation. Published online 2009.
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2009 | Preprint | LibreCat-ID: 51542
Hilgert J, Kobayashi T, Mano G, Möllers J. Special functions associated to a certain fourth order differential equation. Published online 2009.
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2009 | Preprint | LibreCat-ID: 51540
Hilgert J, Schröder M. Patterson--Sullivan distributions for rank one symmetric spaces of the noncompact type. Published online 2009.
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2009 | Preprint | LibreCat-ID: 51539
Hilgert J, Alldridge A. Invariant Berezin integration on homogeneous supermanifolds. Published online 2009.
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2009 | Preprint | LibreCat-ID: 51543
Hilgert J, Hansen S, Keliny S. Asymptotic K-Support and Restrictions of Representations. Published online 2009.
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2009 | Book (Editor) | LibreCat-ID: 51590
Hilgert J, Hora A, Kawazoe T, Nishiyama K, Voit M, eds. Infinite Dimensional Harmonic Analysis IV - On the Interplay between Representation Theory, Random Matrices, Special Functions, and Probability. World Scientific; 2009.
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2008 | Journal Article | LibreCat-ID: 39941
Rösler M, Voit M. A Limit Relation for Dunkl-Bessel Functions of Type A and B. Symmetry, Integrability and Geometry: Methods and Applications. 2008;4(083):9pp. doi:10.3842/sigma.2008.083
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2008 | Journal Article | LibreCat-ID: 51407
Hilgert J, Rilke F. Meromorphic Continuation of Dynamical Zeta Functions via Transfer Operators. J Funct Anal. 2008;254:476-505.
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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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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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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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2008 | Preprint | LibreCat-ID: 51545
Hilgert J. Attractor Networks on Complex Flag Manifolds. Published online 2008.
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2008 | Book Review | LibreCat-ID: 51602
Hilgert J. Faraut, J. Analysis on Lie Groups (Cambridge University Press, 2008). Math Reviews. Published online 2008.
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2007 | Journal Article | LibreCat-ID: 39947
Rösler M. Bessel convolutions on matrix cones. Compositio Mathematica. 2007;143(03):749-779. doi:10.1112/s0010437x06002594
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2007 | Journal Article | LibreCat-ID: 51408
Hilgert J, Deitmar A. The Lewis Correspondence for Submodular Groups. Forum Math. 2007;19:1075-1099.
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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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2007 | Book Review | LibreCat-ID: 51601
Hilgert J. Wolf, J..A. Harmonic Analysis on Commutative Spaces (AMS, 2007). Math Reviews. Published online 2007.
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2007 | Book Review | LibreCat-ID: 51600
Hilgert J. Procesi, C. Lie Groups (Springer, 2007). JBer DMV. Published online 2007.
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2006 | Journal Article | LibreCat-ID: 39948
Rösler M, Voit M. SU(d)-Biinvariant Random Walks on SL(d,C) and their Euclidean Counterparts. Acta Applicandae Mathematicae. 2006;90(1-2):179-195. doi:10.1007/s10440-006-9035-4
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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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2006 | Book Review | LibreCat-ID: 51599
Hilgert J. Stroppel, M. Topological groups (EMS, 2006). Zentralblatt für Math. Published online 2006.
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2005 | Journal Article | LibreCat-ID: 39951
Rösler M, Rauhut H. Radial Multiresolution in Dimension Three. Constructive Approximation. 2005;22(2):193-218. doi:10.1007/s00365-004-0587-0
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2005 | Conference Paper | LibreCat-ID: 39949
Rösler M, VOIT M. Deformations of convolution semigroups on commutative hypergroups. In: Infinite Dimensional Harmonic Analysis III. World Scientific Publ.; 2005:249–264. doi:10.1142/9789812701503_0016
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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.
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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.
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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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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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2004 | Journal Article | LibreCat-ID: 40320
Rösler M, Voit M. Positivity of Dunkl’s intertwining operator via the trigonometric setting. International Mathematics Research Notices. 2004;(63):3379–3389. doi:10.48550/ARXIV.MATH/0405368
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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.
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2004 | Preprint | LibreCat-ID: 51548
Hilgert J, Deitmar A. The Lewis Correspondence for submodular groups. Published online 2004.
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2003 | Book Chapter | LibreCat-ID: 39956
Rösler M. Dunkl Operators: Theory and Applications. In: Lecture Notes in Mathematics. Springer Berlin Heidelberg; 2003:93–135. doi:10.1007/3-540-44945-0_3
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2003 | Journal Article | LibreCat-ID: 39957
Rösler M. A positive radial product formula for the Dunkl kernel. Transactions of the American Mathematical Society. 2003;355(6):2413–2438. doi:10.48550/ARXIV.MATH/0210137
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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.
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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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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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2002 | Journal Article | LibreCat-ID: 39959
Rösler M, de Jeu M. Asymptotic Analysis for the Dunkl Kernel. Journal of Approximation Theory. 2002;119(1):110-126. doi:10.1006/jath.2002.3722
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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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2002 | Book Chapter | LibreCat-ID: 51471
Hilgert J. Lie Groups. In: Mikhalev AV, Pilz GF, eds. Handbook on the Heart of Algebra. Kluwer; 2002.
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