Segal-Bargmann transforms associated with finite Coxeter groups

DOI10.1007/s00208-005-0718-3zbMath1109.33015OpenAlexW2058643404MaRDI QIDQ818549

Salem Ben Said, Bent Orsted

Publication date: 21 March 2006

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-005-0718-3

zbMATH Keywords

Coxeter groupsFock modelSchrödinger modelSegal-Bargmann transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Harmonic analysis on homogeneous spaces (43A85) Orthogonal polynomials and functions associated with root systems (33C52)

Related Items

Relations Among Various Versions of the Segal-Bargmann Transform, The wave equation for Dunkl operators, THE μ-DEFORMED SEGAL–BARGMANN TRANSFORM IS A HALL TYPE TRANSFORM, Plane wave formulas for spherical, complex and symplectic harmonics, On the images of Dunkl-Sobolev spaces under the Schrödinger semigroup associated to Dunkl operators, The Dunkl-Cherednik deformation of a Howe duality, Howe duality in Dunkl superspace, On Segal--Bargmann analysis for finite Coxeter groups and its heat kernel, DIRECT AND REVERSE LOG-SOBOLEV INEQUALITIES IN μ-DEFORMED SEGAL–BARGMANN ANALYSIS, On the integrability of a representation of \(\mathfrak{sl}(2,\mathbb R)\), The \(C\)-version Segal-Bargmann transform for finite Coxeter groups defined by the restriction principle, A unified class of integral transforms related to the Dunkl transform, Analytical and numerical approximation formulas on the Dunkl-type Fock spaces, Inversions for the Hua-Radon and the polarized Hua-Radon transform, Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups, The monogenic Hua-Radon transform and its inverse, An extension of Pizzetti's formula associated with the Dunkl operators, Laguerre semigroup and Dunkl operators

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