Multidimensional Heisenberg convolutions and product formulas for multivariate Laguerre polynomials

DOI10.4064/cm123-2-1zbMath1228.43008arXiv1201.3776OpenAlexW1970606191MaRDI QIDQ3007967

Michael Voit

Publication date: 17 June 2011

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.3776

zbMATH Keywords

hypergroupsWeyl chambersproduct formulasmultivariate Laguerre polynomialsmatrix coneshypergroup charactersHeisenberg convolutionmultivariate Bessel functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Harmonic analysis on hypergroups (43A62) Harmonic analysis and spherical functions (43A90) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items (5)

Harmonic analysis associated with the multivariate Laguerre function ⋮ A multivariate version of the disk convolution ⋮ Hypergroups and quantum Bessel processes of non-integer dimensions ⋮ Positive intertwiners for Bessel functions of type B ⋮ Mehler semigroups, Ornstein-Uhlenbeck processes and background driving Lévy processes on locally compact groups and on hypergroups

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