The Dunkl kernel and intertwining operator for dihedral groups

DOI10.1016/j.jfa.2021.108932zbMath1466.44004arXiv2002.09065OpenAlexW3122043972MaRDI QIDQ2225266

Hendrik De Bie, Lian Pan

Publication date: 5 February 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.09065

zbMATH Keywords

intertwining operatordihedral groupsDunkl operatorsDunkl transform

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Integral transforms of special functions (44A20) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (4)

Free boson realization of the Dunkl intertwining operator in one dimension ⋮ On the kernel of the -Generalized fourier transform ⋮ Finite-dimensional representations of the symmetry algebra of the dihedral Dunkl-Dirac operator ⋮ Dunkl intertwining operator for symmetric groups

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