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J. Hilgert, T. Kobayashi, J. Möllers, B. Ørsted:
Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups
http://arxiv.org/abs/1203.5462
J. Hilgert, T. Kobayashi, J. Möllers:
Minimal representations via Bessel operators
Erscheint in J. Jap. Math. Soc.
http://arxiv.org/abs/1106.3621
A. Alldridge, J. Hilgert, W. Palzer:
Integration on Non-Compact Supermanifolds
Journal of Geometry and Physics 62 (2012) 427--448
http://arxiv.org/abs/1106.1967
S. Hansen, J. Hilgert, M. Schröder:
Patterson-Sullivan distributions in higher rank
Erscheint in Math. Zeitschrift
http://arxiv.org/abs/1105.5788
A. Alldridge, J. Hilgert, M. Laubinger:
Harmonic analysis on Heisenberg--Clifford Lie supergroups
http://arxiv.org/abs/1102.4475
J. Hilgert, M. Schröder:
Patterson-Sullivan distributions for rank one symmetric spaces of the noncompact type
http://arxiv.org/abs/0909.2142
J. Hilgert, T. Kobayashi, G. Mano und J. Möllers:
Orthogonal polynomials associated to a certain fourth order differential equation.
Ramanujan J. 26 (2011), 295--310
http://arxiv.org/abs/0907.2612
J. Hilgert, T. Kobayashi, G. Mano und J. Möllers:
Special functions associated to a certain fourth order differential equation.
Ramanujan J. 26 (2011), 1--34
http://arxiv.org/abs/0907.2608
A. Alldridge , J. Hilgert:
Invariant Berezin integration on homogeneous supermanifolds.
Journal of Lie Theory 20 (2010), 65--91
A. Alldridge , J. Hilgert, M. Zirnbauer:
Chevalley's Restriction Theorem for Reductive Symmetric Superpairs.
J. of Algebra 323 (2010), 1159--1185
S. Hansen, J. Hilgert, S. Keliny:
Asymptotic K-Support and Restrictions of Representations.
Represent. Theory 13 (2009), 460-469
J. Hilgert, A. Pasquale:
Resonances and Residue Operators for Symmetric Spaces of Rank one.
J. Math. Pures Appl. 91 (2009), 495--507
J. Hilgert, G. Zhang:
Segal--Bargmann and Weyl Transforms on Compact Groups.
Monatshefte Math. 158 (2009), 285-305
J. Hilgert, A. Pohl:
Symbolic Dynamics for the Geodesic Flow on Locally Symmetric Orbifolds of Rank One.
In: Infinite Dimensional Harmonic Analysis IV, World Scientific, Singapur 2008.
J. Hilgert, A. Hora, K. Nishiyama, T. Kawazoe, M. Voit, eds
J. Hilgert:
Reproducing Kernels in Representation Theory.
In: Symmetries in Complex Analysis, B. Gilligan, G. Roos eds.
Contemp. Math. 468 (2008), 1--98
J. Hilgert:
Mayer's Transfer Operator and Representations of Gl2
Semigroup Forum 77 (2008), 64-85
J. Hilgert:
Attractor Networks on Complex Flag Manifolds
http://arxiv.org/abs/0812.2573v1
J. Hilgert, F. Rilke:
Meromorphic Continuation of Dynamical Zeta Functions via Transfer Operators.
J. Funct. Anal. 254 (2008), 476-505.
A. Deitmar, J. Hilgert:
The Lewis correspondence for submodular groups.
Forum Math. 19 (2007), 1075-1099
A. Deitmar, J. Hilgert:
Cohomology of arithmetic groups with infinite dimensional coefficient spaces
Doc. Math. 10 (2005), 199-216
J. Hilgert, D. Mayer, H. Movasati:
Transfer operators for ?0(n) and the Hecke operators for the period functions for PSL(2,Z)
Math. Proc. Camb. Phil. Soc. 139 (2005), 81-116
J. Hilgert:
An Ergodic Arnold-Liouville Theorem for Locally Symmetric Spaces
In: Twenty Years of Bialowieza: A Mathematical Anthology. S.T. Ali et al. eds., World Scientific, Singapore, 2005
J. Hilgert, D. Mayer:
The dynamical zeta function and transfer operators for the Kac-Baker model
Contemp. Math. 364 (2004), p. 67-92
J. Hilgert, A. Pasquale, E.B. Vinberg:
The dual horospherical Radon transform as a limit of spherical Radon transforms
Amer. Math. Soc.Transl. 210 (2003), p. 135-143
J. Hilgert, D. Mayer:
Transfer operators and dynamical zeta functions for a class of lattice spin models
Comm. Math. Phys. 232 (2002), p. 19-58
J. Hilgert, A. Pasquale, E.B. Vinberg:
The dual horospherical Radon transform for polynomials
Moscow Math. J. 2 (2002), p. 113-126
J. Hilgert, K.-H. Neeb:
Vector valued Riesz distributions on Euclidian Jordan algebras
J. Geom. Analysis 11 (2001), p. 43-75
W. Bertram, J. Hilgert:
Characterization of the Kantor-Koecher-Tits Algebra by a Generalized Ahlfors Operator
J. of Lie Theory 11 (2001), p. 415-426
J. Hilgert, B. Krötz:
The Plancherel Theorem for invariant Hilbert spaces
Mathematische Zeitschrift 237 (2001), p. 61-83
W. Bertram, J. Hilgert:
Geometric Hardy and Bergman spaces
Michigan Math. J. 47 (2000), p. 235-263
J. Hilgert, B. Krötz:
Weighted Bergman spaces associated to causal symmetric spaces
manuscripta math. 99 (1999), p. 151-180
J. Hilgert, B. Krötz:
Representations, characters, and spherical functions associated to causal symmetric spaces
J.Funct. Anal. 169 (1999), p. 357-390
J. Hilgert, K.-H. Neeb:
Positive definite spherical functions on Ol'shanskii domains
Transactions AMS 352 (1999), p. 1345-1380
A. Helminck, J. Hilgert, A. Neumann, G.Olafsson:
A conjugacy theorem for symmetric spaces
Math. Ann. 313 (1999), p. 785-791
W. Bertram, J. Hilgert:
Hardy spaces and analytic continuation of Bergman spaces
Bull. Soc. math. France 126 (1998), p. 435-482