<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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; jxj<sup>2α+1</sup>dx), where k 2 f1; 2; ...g and <inline-formula><inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="../graphic/fig4(p47).png"></inline-graphic></inline-formula>.</p></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 .

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

Department of Mathematics, Faculty of Sciences Aïn Chock, University of Hassan II, Casablanca, Morocco

Annals of West University of Timisoara - Mathematics and Computer Science

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...

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

Published Online: Jan 22, 2014

Page range: 47 - 55

DOI: https://doi.org/10.2478/awutm-2013-0015

Keywords
Dunkl operator, Dunkl transform, generalized translation operator

This content is open access.

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

Published Online: Jan 22, 2014

Page range: 47 - 55

DOI: https://doi.org/10.2478/awutm-2013-0015

KeywordsDunkl operator, Dunkl transform, generalized translation operator

This content is open access.

Keywords
Dunkl operator, Dunkl transform, generalized translation operator