The Heat Semigroup in the Compact Heckman-Opdam Setting and the Segal-Bargmann Transform

DOI10.1093/imrn/rnq239zbMath1227.22009arXiv1003.2992OpenAlexW1998784565MaRDI QIDQ3094425

Heiko Remling, Margit Rösler

Publication date: 25 October 2011

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.2992

zbMATH Keywords

Weyl groupHeckman-Opdam LaplacianSegal-Bargmann transformHeat semigroup

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30)

Related Items (6)

Elementary symmetric polynomials and martingales for Heckman-Opdam processes ⋮ Some martingales associated with multivariate Jacobi processes and Aomoto's Selberg integral ⋮ Freezing limits for Calogero–Moser–Sutherland particle models ⋮ The \(C\)-version Segal-Bargmann transform for finite Coxeter groups defined by the restriction principle ⋮ Limit theorems and soft edge of freezing random matrix models via dual orthogonal polynomials ⋮ Convolution algebras for Heckman-Opdam polynomials derived from compact Grassmannians

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