The \(C\)-version Segal-Bargmann transform for finite Coxeter groups defined by the restriction principle

DOI10.1155/2011/365085zbMath1259.46021arXiv0911.2926OpenAlexW1994671898WikidataQ58654831 ScholiaQ58654831MaRDI QIDQ666314

Stephen Bruce Sontz

Publication date: 8 March 2012

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.2926

zbMATH Keywords

finite Coxeter groupsreproducing kernel spaceSegal-Bargmann transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (2)

Relations Among Various Versions of the Segal-Bargmann Transform ⋮ The Poisson transform on a compact real analytic Riemannian manifold

Cites Work

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• Segal-Bargmann and Weyl transforms on compact Lie groups
• Generalized Hermite polynomials and the heat equation for Dunkl operators
• A weighted Plancherel formula. III: The case of the hyperbolic matrix ball
• The Dunkl transform
• The Segal-Bargmann ``coherent state transform for compact Lie groups
• Hermite functions on compact Lie groups. I
• Laguerre polynomials, restriction principle, and holomorphic representations of SL\((2\mathbb R)\)
• Perturbation theory for linear operators.
• Branching coefficients of holomorphic representations and Segal-Bargmann transform
• Generalized Fock spaces and Weyl commutation relations for the Dunkl kernel.
• The heat kernel transform for the Heisenberg group
• The Heat Semigroup in the Compact Heckman-Opdam Setting and the Segal-Bargmann Transform
• THE μ-DEFORMED SEGAL–BARGMANN TRANSFORM IS A HALL TYPE TRANSFORM

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