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Generalization of Titchmarsh’s Theorem for the Dunkl Transform on the Real Line Cover

Generalization of Titchmarsh’s Theorem for the Dunkl Transform on the Real Line

Open Access
|Jan 2014

Abstract

In this paper we shall prove the generalization of Titchmarsh's Theorem for the Dunkl transform for functions satisfying the k-Dunkl Lipschitz condition in the space L2,α = L2(ℝ; jxj2α+1dx), where k 2 f1; 2; ...g and .

DOI: https://doi.org/10.2478/awutm-2013-0015 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293
Language: English
Page range: 47 - 55
Published on: Jan 22, 2014
Published by: West University of Timisoara
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open

© 2014 Mohamed El Hamma, Radouan Daher, published by West University of Timisoara
This work is licensed under the Creative Commons License.