On the Dunkl intertwining operator

DOI10.1016/j.jmaa.2016.10.032zbMath1360.22013arXiv1605.02280OpenAlexW2962864532MaRDI QIDQ342912

Mostafa Maslouhi

Publication date: 18 November 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.02280

zbMATH Keywords

Weyl grouproot systemsDunkl kernelDunkl operatorsDunkl intertwining operator

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Analysis on real and complex Lie groups (22E30) Commutative rings of differential operators and their modules (13N10) Other transforms and operators of Fourier type (43A32)

Cites Work

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• Corrigendum to ``The Dunkl intertwining operator [J. Funct. Anal. 256 (8) (2009) 2697-2709]
• The Dunkl intertwining operator
• The volume of a compact Lie group
• Markov processes related with Dunkl operators
• The Dunkl transform
• Exact operator solution of the Calogero-Sutherland model
• Positivity of Dunkl's intertwining operator
• Integral Kernels with Reflection Group Invariance
• Singular Polynomials for Finite Reflection Groups
• Paley–Wiener theorems for the Dunkl transform

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