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401 Publications
2002 | Journal Article | LibreCat-ID: 51412
Transfer Operators and Dynamical Zeta Functions for a Class of Lattice Spin Models
J. Hilgert, D. Mayer, Commun Math. Phys. 232 (2002) 19–58.
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J. Hilgert, D. Mayer, Commun Math. Phys. 232 (2002) 19–58.
2002 | Journal Article | LibreCat-ID: 51413
The Dual Horospherical Radon Transform for Polynomials
J. Hilgert, A. Pasquale, E.B. Vinberg, Moscow Math. J. 2 (2002) 113–126.
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J. Hilgert, A. Pasquale, E.B. Vinberg, Moscow Math. J. 2 (2002) 113–126.
2002 | Book Review | LibreCat-ID: 51579
Juhl, A. Cohomological Theory of Dynamical Zeta Functions (Birkhäuser, Boston, 2000)
J. Hilgert, JBer. DMV 104 (2002).
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J. Hilgert, JBer. DMV 104 (2002).
2002 | Book Review | LibreCat-ID: 51580
Neeb, K.-H. Holomorphy and Convexity in Lie Theory (De Gruyter, Berlin, 2000)
J. Hilgert, Semigroup Forum 64 (2002).
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J. Hilgert, Semigroup Forum 64 (2002).
2002 | Book (Editor) | LibreCat-ID: 51591
Geometry and Analysis on Finite- and Infinite-Dimensional Lie Groups
J. Hilgert, A. Strasburger, K.-H. Neeb, W. Wojtynski, eds., Geometry and Analysis on Finite- and Infinite-Dimensional Lie Groups, Banach Center Publications 55, 2002.
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J. Hilgert, A. Strasburger, K.-H. Neeb, W. Wojtynski, eds., Geometry and Analysis on Finite- and Infinite-Dimensional Lie Groups, Banach Center Publications 55, 2002.
2002 | Preprint | LibreCat-ID: 51551
Transfer operators and dynamical zeta functions for a class of lattice spin models
J. Hilgert, D. Mayer, (2002).
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J. Hilgert, D. Mayer, (2002).
2001 | Preprint | LibreCat-ID: 51552
The dynamical zeta function and transfer operators for the Kac-Baker model
J. Hilgert, D. Mayer, (2001).
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J. Hilgert, D. Mayer, (2001).
2001 | Journal Article | LibreCat-ID: 51417
Characterization of the Kantor-Koecher-Tits Algebra by a Generalized Ahlfors Operator
J. Hilgert, W. Bertram, J. Lie Theory 11 (2001) 415–426.
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J. Hilgert, W. Bertram, J. Lie Theory 11 (2001) 415–426.
2001 | Journal Article | LibreCat-ID: 51416
Vector Valued Riesz Distributions on Euclidian Jordan Algebras
J. Hilgert, K.-H. Neeb, J. Geometric Analysis 11 (2001) 43–75.
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J. Hilgert, K.-H. Neeb, J. Geometric Analysis 11 (2001) 43–75.
2001 | Journal Article | LibreCat-ID: 51414
Geometry of Symmetric Spaces via Jordan Structures. Bull. Transsilv
J. Hilgert, W. Bertram, Univ. Brasov Ser. 8 (2001) 7–18.
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J. Hilgert, W. Bertram, Univ. Brasov Ser. 8 (2001) 7–18.
2001 | Journal Article | LibreCat-ID: 51418
The Plancherel Theorem for Invariant Hilbert Spaces
J. Hilgert, B. Krötz, Math. Zeitschrift 237 (2001) 61–83.
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J. Hilgert, B. Krötz, Math. Zeitschrift 237 (2001) 61–83.
2001 | Preprint | LibreCat-ID: 51553
The dual horospherical Radon transform for polynomials
J. Hilgert, A. Pasquale, E.B. Vinberg, (2001).
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J. Hilgert, A. Pasquale, E.B. Vinberg, (2001).
2001 | Book Review | LibreCat-ID: 51598
Berenstein, C., D.-C. Chang, J. Tie. Laguerre Calculus and its Applications on the Heisenberg Group (AMS, International Press, 2001)
J. Hilgert, Math. Reviews (2001).
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J. Hilgert, Math. Reviews (2001).
2000 | Conference Paper | LibreCat-ID: 40172
Short-time estimates for heat kernels associated with root systems
M. Rösler, in: Special Functions (HongKong 1999), World Scientific, 2000, pp. 309–323.
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| DOI
M. Rösler, in: Special Functions (HongKong 1999), World Scientific, 2000, pp. 309–323.
2000 | Journal Article | LibreCat-ID: 51419
Geometric Hardy and Bergman Spaces
J. Hilgert, W. Bertram, Michigan Math. J. 47 (2000) 235–263.
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J. Hilgert, W. Bertram, Michigan Math. J. 47 (2000) 235–263.
2000 | Book (Editor) | LibreCat-ID: 51592
Lie Theory and its Applcations in Physics III
J. Hilgert, H.-D. Doebner, V.K. Dobrev, eds., Lie Theory and Its Applcations in Physics III, World Scientific, 2000.
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J. Hilgert, H.-D. Doebner, V.K. Dobrev, eds., Lie Theory and Its Applcations in Physics III, World Scientific, 2000.
2000 | Conference Paper | LibreCat-ID: 40652
One-parameter semigroups related to abstract quantum models of Calogero type
M. Rösler, in: Infinite Dimensional Harmonic Analysis (Kyoto 1999), Gräbner-Verlag, 2000, pp. 290–305.
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M. Rösler, in: Infinite Dimensional Harmonic Analysis (Kyoto 1999), Gräbner-Verlag, 2000, pp. 290–305.
1999 | Journal Article | LibreCat-ID: 40184
An uncertainty principle for the Dunkl transform
M. Rösler, Bulletin of the Australian Mathematical Society 59 (1999) 353–360.
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| DOI
M. Rösler, Bulletin of the Australian Mathematical Society 59 (1999) 353–360.
1999 | Journal Article | LibreCat-ID: 40189
Positivity of Dunkl’s intertwining operator
M. Rösler, Duke Mathematical Journal 98 (1999) 445–463.
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| DOI
M. Rösler, Duke Mathematical Journal 98 (1999) 445–463.
1999 | Journal Article | LibreCat-ID: 40192
Partial Characters and Signed Quotient Hypergroups
M. Rösler, M. Voit, Canadian Journal of Mathematics 51 (1999) 96–116.
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| DOI
M. Rösler, M. Voit, Canadian Journal of Mathematics 51 (1999) 96–116.
1999 | Journal Article | LibreCat-ID: 51422
Representations, Characters, and Spherical Functions Associated to Causal Symmetric Spaces
J. Hilgert, B. Krötz, J. Funct. Anal. 169 (1999) 357–390.
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J. Hilgert, B. Krötz, J. Funct. Anal. 169 (1999) 357–390.
1999 | Book Review | LibreCat-ID: 51581
Guillemin, V., E. Lerman, S. Sternberg. Symplectic fibration and Multiplicity Diagrams (Cambridge University Press, 1996)
J. Hilgert, JBer. DMV 101 (1999).
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J. Hilgert, JBer. DMV 101 (1999).
1999 | Journal Article | LibreCat-ID: 51424
A Conjugacy Theorem for Symmetric Spaces
J. Hilgert, A. Neumann , G. Ólafsson, Math. Annalen 313 (1999) 785–791.
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J. Hilgert, A. Neumann , G. Ólafsson, Math. Annalen 313 (1999) 785–791.
1999 | Journal Article | LibreCat-ID: 51423
Weighted Bergman Spaces Associated to Causal Symmetric Spaces
J. Hilgert, B. Krötz, Manus. Math. 99 (1999) 151–180.
LibreCat
J. Hilgert, B. Krötz, Manus. Math. 99 (1999) 151–180.
1999 | Journal Article | LibreCat-ID: 51421
Positive Definite Spherical Functions on Olshanskii Domains
J. Hilgert, K.-H. Neeb, Trans. AMS. 352 (1999) 1345–1380.
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J. Hilgert, K.-H. Neeb, Trans. AMS. 352 (1999) 1345–1380.
1999 | Journal Article | LibreCat-ID: 40666
An uncertainty principle for Hankel transforms
M. Rösler, Proceedings of the American Mathematical Society 127 (1999) 183–194.
LibreCat
M. Rösler, Proceedings of the American Mathematical Society 127 (1999) 183–194.
1998 | Journal Article | LibreCat-ID: 40197
Biorthogonal polynomials associated with reflection groups and a formula of Macdonald
M. Rösler, M. Voit, Journal of Computational and Applied Mathematics 99 (1998) 337–351.
LibreCat
| DOI
M. Rösler, M. Voit, Journal of Computational and Applied Mathematics 99 (1998) 337–351.
1998 | Journal Article | LibreCat-ID: 40200
Markov Processes Related with Dunkl Operators
M. Rösler, M. Voit, Advances in Applied Mathematics 21 (1998) 575–643.
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| DOI
M. Rösler, M. Voit, Advances in Applied Mathematics 21 (1998) 575–643.
1998 | Book Chapter | LibreCat-ID: 51477
Invariant Cones in Real Representations
J. Hilgert, K.-H. Neeb, in: J. Hilgert, J.D. Lawson, K.-H. Neeb, E.B. Vinberg (Eds.), Positivity in Lie Theory: Open Problems, De Gruyter, Berlin, 1998.
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J. Hilgert, K.-H. Neeb, in: J. Hilgert, J.D. Lawson, K.-H. Neeb, E.B. Vinberg (Eds.), Positivity in Lie Theory: Open Problems, De Gruyter, Berlin, 1998.
1998 | Book Chapter | LibreCat-ID: 51475
Reproducing Kernels on Vector Bundles
J. Hilgert, W. Bertram, in: H.D. Doebner, V. Dobrev, J. Hilgert (Eds.), Lie Theory and Its Applications in Physics, World Scientific, Singapore, 1998.
LibreCat
J. Hilgert, W. Bertram, in: H.D. Doebner, V. Dobrev, J. Hilgert (Eds.), Lie Theory and Its Applications in Physics, World Scientific, Singapore, 1998.
1998 | Journal Article | LibreCat-ID: 51425
Hardy Spaces and Analytic Continuation of Bergman Spaces
J. Hilgert, W. Bertram, Bull. Math. Soc. Francaise 126 (1998) 435–482.
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J. Hilgert, W. Bertram, Bull. Math. Soc. Francaise 126 (1998) 435–482.
1998 | Journal Article | LibreCat-ID: 51426
Poisson Lie Groups and Non-Linear Convexity Theorems
J. Hilgert, K.-H. Neeb, Math. Nachr. 191 (1998) 153–187.
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J. Hilgert, K.-H. Neeb, Math. Nachr. 191 (1998) 153–187.
1998 | Book (Editor) | LibreCat-ID: 51594
Lie Theory and its Applcations in Physics II
J. Hilgert, H.-D. Doebner, V.K. Dobrev, eds., Lie Theory and Its Applcations in Physics II, World Scientific, 1998.
LibreCat
J. Hilgert, H.-D. Doebner, V.K. Dobrev, eds., Lie Theory and Its Applcations in Physics II, World Scientific, 1998.
1998 | Book (Editor) | LibreCat-ID: 51593
Positivity in Lie Theory
J. Hilgert, J.D. Lawson, K.-H. Neeb, E.B. Vinberg, eds., Positivity in Lie Theory, De Gruyter, , 1998.
LibreCat
J. Hilgert, J.D. Lawson, K.-H. Neeb, E.B. Vinberg, eds., Positivity in Lie Theory, De Gruyter, , 1998.
1997 | Journal Article | LibreCat-ID: 40205
An Uncertainty Principle for Ultraspherical Expansions
M. Rösler, M. Voit, Journal of Mathematical Analysis and Applications 209 (1997) 624–634.
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| DOI
M. Rösler, M. Voit, Journal of Mathematical Analysis and Applications 209 (1997) 624–634.
1997 | Journal Article | LibreCat-ID: 51427
Singular Unitary Highest Weight Representations via Geometric Quantization
J. Hilgert, Reports on Math. Physics 40 (1997) 209–215.
LibreCat
J. Hilgert, Reports on Math. Physics 40 (1997) 209–215.
1997 | Book (Editor) | LibreCat-ID: 51495
Causal Symmetric Spaces, Geometry and Harmonic Analysis
J. Hilgert, G. Ólafsson, eds., Causal Symmetric Spaces, Geometry and Harmonic Analysis, Academic Press, San Diego, 1997.
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J. Hilgert, G. Ólafsson, eds., Causal Symmetric Spaces, Geometry and Harmonic Analysis, Academic Press, San Diego, 1997.
1997 | Book Review | LibreCat-ID: 51582
Vaisman, I. Lectures on the Geometry of Poisson Manifolds (Birkhäuser, Boston, 1994)
J. Hilgert, JBer. DMV 99 (1997).
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J. Hilgert, JBer. DMV 99 (1997).
1996 | Journal Article | LibreCat-ID: 51429
Unitary Highest Weight Representations via the Orbit Method I: The Scalar Case
J. Hilgert, K.-H. Neeb, B. Orsted, Acta Appl.. Math. 44 (1996) 151–184.
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J. Hilgert, K.-H. Neeb, B. Orsted, Acta Appl.. Math. 44 (1996) 151–184.
1996 | Journal Article | LibreCat-ID: 51430
Conal Heisenberg Algebras and Associated Hilbert Spaces
J. Hilgert, K.-H. Neeb, B. Orsted, J. Reine Angew. Math. 474 (1996) 67–112.
LibreCat
J. Hilgert, K.-H. Neeb, B. Orsted, J. Reine Angew. Math. 474 (1996) 67–112.
1996 | Journal Article | LibreCat-ID: 51431
Orthogonal Lie Algrebras with Cone Potential
J. Hilgert, K.-H. Neeb, Commun. in Alg. 24 (1996) 433–444.
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J. Hilgert, K.-H. Neeb, Commun. in Alg. 24 (1996) 433–444.
1996 | Journal Article | LibreCat-ID: 51428
Spherical Functions on Olshanskii Spaces
J. Hilgert, K.-H. Neeb, J. Funct. Anal. 142 (1996) 446–493.
LibreCat
J. Hilgert, K.-H. Neeb, J. Funct. Anal. 142 (1996) 446–493.
1996 | Book Review | LibreCat-ID: 51597
Knapp, A.W. Lie Groups Beyond an Introduction (Birkhäuser, Boston, 1996)
J. Hilgert, Zentralblatt Für Math. (1996).
LibreCat
J. Hilgert, Zentralblatt Für Math. (1996).
1995 | Conference Paper | LibreCat-ID: 40209
Convolution algebras which are not necessarily positivity-preserving
M. Rösler, in: Applications of Hypergroups and Related Measure Algebras, American Mathematical Society, Providence, Rhode Island, 1995, pp. 299–318.
LibreCat
| DOI
M. Rösler, in: Applications of Hypergroups and Related Measure Algebras, American Mathematical Society, Providence, Rhode Island, 1995, pp. 299–318.
1995 | Journal Article | LibreCat-ID: 40207
Trigonometric convolution structures on Z derived from Jacobi polynomials
M. Rösler, Journal of Computational and Applied Mathematics 65 (1995) 357–368.
LibreCat
| DOI
M. Rösler, Journal of Computational and Applied Mathematics 65 (1995) 357–368.
1995 | Journal Article | LibreCat-ID: 40208
On the dual of a commutative signed hypergroup
M. Rösler, Manuscripta Mathematica 88 (1995) 147–163.
LibreCat
| DOI
M. Rösler, Manuscripta Mathematica 88 (1995) 147–163.
1995 | Book Chapter | LibreCat-ID: 51479
The Halfspace Method for Causal Structures on Homogeneous Manifolds
J. Hilgert, in: K.H. Hofmann, J.D. Lawson, E.B. Vinberg (Eds.), Semigroups in Algebra, Geometry and Analysis, De Gruyter, Berlin, 1995.
LibreCat
J. Hilgert, in: K.H. Hofmann, J.D. Lawson, E.B. Vinberg (Eds.), Semigroups in Algebra, Geometry and Analysis, De Gruyter, Berlin, 1995.
1995 | Book Review | LibreCat-ID: 51583
Woodhouse, N.M.J. Geometric Quantization (Clarendon Press, 1992)
J. Hilgert, JBer. DMV 97 (1995).
LibreCat
J. Hilgert, JBer. DMV 97 (1995).
1995 | Book (Editor) | LibreCat-ID: 51595
Lie Theory and its Applcations in Physics
J. Hilgert, H.-D. Doebner, V.K. Dobrev, eds., Lie Theory and Its Applcations in Physics, World Scientific, 1995.
LibreCat
J. Hilgert, H.-D. Doebner, V.K. Dobrev, eds., Lie Theory and Its Applcations in Physics, World Scientific, 1995.
1995 | Book Chapter | LibreCat-ID: 51478
Symplectic Convexity Theorems, Lie Semigroups, and Unitary Representations
J. Hilgert, K.-H. Neeb, in: K.H. Hofmann, J.D. Lawson, E.B. Vinberg (Eds.), Semigroups in Algebra, Geometry and Analysis, De Gruyter, Berlin, 1995.
LibreCat
J. Hilgert, K.-H. Neeb, in: K.H. Hofmann, J.D. Lawson, E.B. Vinberg (Eds.), Semigroups in Algebra, Geometry and Analysis, De Gruyter, Berlin, 1995.