The spectrum of the right inverse of the Dunkl operator

DOI10.1007/s13163-012-0110-2zbMath1334.42059OpenAlexW2009348624MaRDI QIDQ270084

Óscar Ciaurri, Luís Daniel Abreu, Juan Luis Varona

Publication date: 7 April 2016

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13163-012-0110-2

zbMATH Keywords

spectrumspecial functionsdiagonalization of operatorsDunkl kernelDunkl operatorplane wave expansion

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Spectrum, resolvent (47A10) Eigenvalue problems for linear operators (47A75) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items

Composition operators of convolution and multiplication by a function ⋮ Boole-Dunkl polynomials and generalizations

Cites Work

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