An analog of Titchmarsh's Theorem for the Dunkl transform

201023 citationsJournal Article

Authors

M. Maslouhi · École des Hautes Études Commerciales

Abstract

Using a generalized spherical mean operator, we obtain an analog of Titchmarsh's Theorem for the Dunkl transform for functions satisfying the spherical Lipschitz condition in L 2(ℝ d , ω k ), where ω k is a weight function invariant under the action of an associated Weyl group.

Topics & Keywords

Mathematical Analysis and Transform Methods Spectral Theory in Mathematical Physics Mathematical functions and polynomials

Publication Details

Published in: Integral Transforms and Special Functions

Volume 21, Issue 10, pp. 771-778

DOI: 10.1080/10652461003675752

Field-Weighted Citation Impact: 0.83

Command Palette

An analog of Titchmarsh's Theorem for the Dunkl transform

Authors

Abstract

Topics & Keywords

Publication Details