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401 Publications


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.
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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.
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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.
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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.
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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.
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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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