Pompeiu-type theorem associated with the Dunkl operator on the real line

DOI10.1080/1065246042000271965zbMath1069.33015OpenAlexW2042436043MaRDI QIDQ4676358

Belgacem Selmi, Anis El Garna

Publication date: 3 May 2005

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/1065246042000271965

zbMATH Keywords

Pompeiu problemDunkl transformgeneralized convolutionWiener-Tauberian Theorem

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Harmonic analysis on hypergroups (43A62) Orthogonal polynomials and functions associated with root systems (33C52) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items (2)

A local two radii theorem on the Chébli-Trimèche hypergroup ⋮ A Wiener-Tauberian and a Pompeiu type theorems on the Laguerre hypergroup

Cites Work

• Pompeiu's problem on spaces of constant curvature
• The Dunkl transform
• Injectivity of the Pompeiu transform in the Heisenberg group
• A positive radial product formula for the Dunkl kernel
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