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401 Publications


2016 | Journal Article | LibreCat-ID: 31289
On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows
T. Weich, Annales Henri Poincaré 18 (2016) 37–52.
LibreCat | DOI | arXiv
 

2016 | Journal Article | LibreCat-ID: 38032
Integral representation and sharp asymptotic results for some Heckman-Opdam hypergeometric functions of type BC
M. Rösler, M. Voit, Transactions of the American Mathematical Society 368 (2016) 6005–6032.
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2016 | Journal Article | LibreCat-ID: 37663
A multivariate version of the disk convolution
M. Rösler, M. Voit, Journal of Mathematical Analysis and Applications 435 (2016) 701–717.
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2016 | Journal Article | LibreCat-ID: 40066
Hardy–Stein identities and square functions for semigroups
R. Bañuelos, K. Bogdan, T. Luks, Journal of the London Mathematical Society 94 (2016) 462–478.
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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 | Journal Article | LibreCat-ID: 31291
Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps
J.F. ARNOLDI, F. FAURE, T. Weich, Ergodic Theory and Dynamical Systems 37 (2015) 1–58.
LibreCat | DOI | arXiv
 

2015 | Journal Article | LibreCat-ID: 31293
Resonance Chains and Geometric Limits on Schottky Surfaces
T. Weich, Communications in Mathematical Physics 337 (2015) 727–765.
LibreCat | DOI | arXiv
 

2015 | Journal Article | LibreCat-ID: 38037
A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian
M. Rösler, M. Voit, Symmetry, Integrability and Geometry: Methods and Applications 11 (2015) 18pp.
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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
Resonances for the Laplacian: the cases BC2 and C2 (except over SOo(p,2), p>0 odd)
J. Hilgert, A. Pasquale, T. Przebinda, (2015).
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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
Resonances for the Laplacian of products of two rank one Riemannian symmetric spaces
J. Hilgert, A. Pasquale, T. Przebinda, (2015).
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2015 | Preprint | LibreCat-ID: 51530
Superorbits
J. Hilgert, A. Alldridge, T. Wurzbacher, (2015).
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2014 | Journal Article | LibreCat-ID: 31294
Equivariant spectral asymptotics forh-pseudodifferential operators
T. Weich, Journal of Mathematical Physics 55 (2014).
LibreCat | DOI | arXiv
 

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

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

2014 | Journal Article | LibreCat-ID: 37667
Convolution algebras for Heckman–Opdam polynomials derived from compact Grassmannians
M. Rösler, H. Remling, Journal of Approximation Theory 197 (2014) 30–48.
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2014 | Journal Article | LibreCat-ID: 40068
On Hardy spaces of local and nonlocal operators
K. Bogdan, B. Dyda, T. Luks, Hiroshima Mathematical Journal 44 (2014) 193–215.
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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
Resonances for the Laplacian on Riemannian symmetric spaces: the case of SL(3,R)/SO(3)
J. Hilgert, A. Pasquale, T. Przebinda, (2014).
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2014 | Journal Article | LibreCat-ID: 32025
Discontinuity of the Fuglede-Kadison determinant on a group von Neumann algebra
B. Küster, Communications in Mathematics 22 (2014) 141–149.
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2013 | Journal Article | LibreCat-ID: 31298
Experimental Observation of the Spectral Gap in Microwave n-Disk Systems
S. Barkhofen, T. Weich, A. Potzuweit, H.-J. Stöckmann, U. Kuhl, M. Zworski, Physical Review Letters 110 (2013).
LibreCat | DOI | arXiv
 

2013 | Journal Article | LibreCat-ID: 37672
Limit transition between hypergeometric functions of type BC and type A
M. Rösler, T. Koornwinder, M. Voit, Compositio Mathematica 149 (2013) 1381–1400.
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2013 | Journal Article | LibreCat-ID: 38038
Olshanski spherical functions for infinite dimensional motion groups of fixed rank
M. Rösler, M. Voit, Journal of Lie Theory 23 (2013) 899--920.
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2013 | Journal Article | LibreCat-ID: 40072
Boundary Behavior of α-Harmonic Functions on the Complement of the Sphere and Hyperplane
T. Luks, Potential Analysis 39 (2013) 29–67.
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2013 | Journal Article | LibreCat-ID: 40070
Martin representation and Relative Fatou Theorem for fractional Laplacian with a gradient perturbation
P. Graczyk, T. Jakubowski, T. Luks, Positivity 17 (2013) 1043–1070.
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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
The Radon transform and its dual for limits of symmetric spaces
J. Hilgert, G. Ólafsson, (2013).
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2013 | Preprint | LibreCat-ID: 51533
Singular superspaces
J. Hilgert, A. Alldridge, T. Wurzbacher, (2013).
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2012 | Journal Article | LibreCat-ID: 31300
Weyl asymptotics: From closed to open systems
A. Potzuweit, T. Weich, S. Barkhofen, U. Kuhl, H.-J. Stöckmann, M. Zworski, Physical Review E 86 (2012).
LibreCat | DOI | arXiv
 

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
Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups
J. Hilgert, T. Kobayashi, J. Möllers, B. Orsted, (2012).
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2011 | Journal Article | LibreCat-ID: 40073
Hardy spaces for the Laplacian with lower order perturbations
T. Luks, Studia Mathematica 204 (2011) 39–62.
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2011 | Journal Article | LibreCat-ID: 39911
The Heat Semigroup in the Compact Heckman-Opdam Setting and the Segal-Bargmann Transform
M. Rösler, H. Remling, International Mathematics Research Notices (2011) 4200–4225.
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2011 | Journal Article | LibreCat-ID: 39921
Limit theorems for radial random walks on p × q-matrices as p tends to infinity
M. Rösler, M. Voit, Mathematische Nachrichten 284 (2011) 87–104.
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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).
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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).
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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: 39924
Positive convolution structure for a class of Heckman–Opdam hypergeometric functions of type BC
M. Rösler, Journal of Functional Analysis 258 (2010) 2779–2800.
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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 | Conference Paper | LibreCat-ID: 39950
Convolution algebras for multivariable Bessel functions
M. Rösler, in: Infinite Dimensional Harmonic Analysis IV, World Scientific, 2009, pp. 255–271.
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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
Patterson--Sullivan distributions for rank one symmetric spaces of the noncompact type
J. Hilgert, M. Schröder, (2009).
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2009 | Preprint | LibreCat-ID: 51539
Invariant Berezin integration on homogeneous supermanifolds
J. Hilgert, A. Alldridge, (2009).
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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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2008 | Journal Article | LibreCat-ID: 39941
A Limit Relation for Dunkl-Bessel Functions of Type A and B
M. Rösler, M. Voit, Symmetry, Integrability and Geometry: Methods and Applications 4 (2008) 9pp.
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2008 | Journal Article | LibreCat-ID: 51407
Meromorphic Continuation of Dynamical Zeta Functions via Transfer Operators
J. Hilgert, F. Rilke, J. Funct. Anal. 254 (2008) 476–505.
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2008 | Journal Article | LibreCat-ID: 51406
Mayer's Transfer Operator and Representations of SL(2)
J. Hilgert, Semigroup Forum 77 (2008) 64–85.
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2008 | Preprint | LibreCat-ID: 51546
Symbolic dynamics for the geodesic flow on locally symmetric orbifolds of rank one
J. Hilgert, A.D. Pohl , (2008).
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2008 | Preprint | LibreCat-ID: 51544
Chevalley's restriction theorem for reductive symmetric superpairs
J. Hilgert, A. Alldridge, M. Zirnbauer, (2008).
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2008 | Preprint | LibreCat-ID: 51545
Attractor Networks on Complex Flag Manifolds
J. Hilgert, (2008).
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2008 | Book Review | LibreCat-ID: 51602
Faraut, J. Analysis on Lie Groups (Cambridge University Press, 2008)
J. Hilgert, Math. Reviews (2008).
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2007 | Journal Article | LibreCat-ID: 39947
Bessel convolutions on matrix cones
M. Rösler, Compositio Mathematica 143 (2007) 749–779.
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2007 | Journal Article | LibreCat-ID: 51408
The Lewis Correspondence for Submodular Groups
J. Hilgert, A. Deitmar, Forum Math. 19 (2007) 1075–1099.
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2007 | Preprint | LibreCat-ID: 51547
Meromorphic continuation of dynamical zeta functions via transfer operators
J. Hilgert, F. Rilke, (2007).
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2007 | Book Review | LibreCat-ID: 51601
Wolf, J..A. Harmonic Analysis on Commutative Spaces (AMS, 2007)
J. Hilgert, Math. Reviews (2007).
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2007 | Book Review | LibreCat-ID: 51600
Procesi, C. Lie Groups (Springer, 2007)
J. Hilgert, JBer. DMV (2007).
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2006 | Journal Article | LibreCat-ID: 39948
SU(d)-Biinvariant Random Walks on SL(d,C) and their Euclidean Counterparts
M. Rösler, M. Voit, Acta Applicandae Mathematicae 90 (2006) 179–195.
LibreCat | DOI
 

2006 | Book Review | LibreCat-ID: 51577
Adler, M., P. Moerbeke, P. Vanhaecke. Algebraic integrability, Painlevé geometry and Lie algebras (Springer, 2004)
J. Hilgert, JBer. DMV 108 (2006).
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2006 | Book Review | LibreCat-ID: 51599
Stroppel, M. Topological groups (EMS, 2006)
J. Hilgert, Zentralblatt Für Math. (2006).
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2005 | Journal Article | LibreCat-ID: 39951
Radial Multiresolution in Dimension Three
M. Rösler, H. Rauhut, Constructive Approximation 22 (2005) 193–218.
LibreCat | DOI
 

2005 | Conference Paper | LibreCat-ID: 39949
Deformations of convolution semigroups on commutative hypergroups
M. Rösler, M. VOIT, in: Infinite Dimensional Harmonic Analysis III, World Scientific Publ., 2005, pp. 249–264.
LibreCat | DOI
 

2005 | Book Chapter | LibreCat-ID: 51468
An Ergodic Arnold-Liouville Theorem for Symmetric Spaces
J. Hilgert, in: S.T. Ali, et al. (Eds.), Twenty Years of Bialowieza: A Mathematical Antology, World Scientific, Singapore, 2005.
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2005 | Journal Article | LibreCat-ID: 51410
Transfer Operators for Gamma_0(n) and the Hecke Operators for the Period Functions of PSL(2,Z)
J. Hilgert, H. Movasati, D. Mayer, Math. Proc. Camb. Phil. Soc. 139 (2005) 81–116.
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2005 | Book Review | LibreCat-ID: 51578
Dungey, N., A. ter Elst, D. Robinson. Analysis on Lie Groups with Polynomial Growth (Birkhäuser, Boston, 2003)
J. Hilgert, JBer. DMV 107 (2005).
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2005 | Journal Article | LibreCat-ID: 51409
Cohomology of Arithmetic Groups with Infinite Dimensional Coefficient Spaces
J. Hilgert, A. Deitmar, Documanta Math. 10 (2005) 199–216.
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2004 | Journal Article | LibreCat-ID: 40320
Positivity of Dunkl's intertwining operator via the trigonometric setting
M. Rösler, M. Voit, International Mathematics Research Notices (2004) 3379–3389.
LibreCat | DOI
 

2004 | Book Chapter | LibreCat-ID: 51469
The Dynamical Zeta Function and Transfer Operators for the Kac-Baker Model
J. Hilgert, D. Mayer, in: M. Agranowsky, et al. (Eds.), Complex Analysis and Dynamical Systems, 2004.
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2004 | Preprint | LibreCat-ID: 51548
The Lewis Correspondence for submodular groups
J. Hilgert, A. Deitmar, (2004).
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2003 | Book Chapter | LibreCat-ID: 39956
Dunkl Operators: Theory and Applications
M. Rösler, in: Lecture Notes in Mathematics, Springer Berlin Heidelberg, Berlin, Heidelberg, 2003, pp. 93–135.
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2003 | Journal Article | LibreCat-ID: 39957
A positive radial product formula for the Dunkl kernel
M. Rösler, Transactions of the American Mathematical Society 355 (2003) 2413–2438.
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2003 | Journal Article | LibreCat-ID: 51411
The Dual Horospherical Radon Transform as a Limit of Spherical Radon Transforms
J. Hilgert, E.B. Vinberg, A. Pasquale, AMS Translations 210 (2003) 135–143.
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2003 | Preprint | LibreCat-ID: 51550
Transfer operators for Γ0(n) and the Hecke operators for the period functions for PSL(2,Z)
J. Hilgert, D. Mayer, H. Movasati, (2003).
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2003 | Preprint | LibreCat-ID: 51549
Cohomology of arithmetic groups with infinite dimensional coefficient spaces
J. Hilgert, A. Deitmar, (2003).
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2002 | Journal Article | LibreCat-ID: 39959
Asymptotic Analysis for the Dunkl Kernel
M. Rösler, M. de Jeu, Journal of Approximation Theory 119 (2002) 110–126.
LibreCat | DOI
 

2002 | Book Chapter | LibreCat-ID: 51470
Representation Theory of Lie Groups
J. Hilgert, in: A.V. Mikhalev, G.F. Pilz (Eds.), Handbook on the Heart of Algebra, Kluwer, Dordrecht, 2002.
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2002 | Book Chapter | LibreCat-ID: 51471
Lie Groups
J. Hilgert, in: A.V. Mikhalev, G.F. Pilz (Eds.), Handbook on the Heart of Algebra, Kluwer, Dordrecht, 2002.
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