<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

Data publikacji: 22 sty 2014

Zakres stron: 47 - 55

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

Słowa kluczowe
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

Data publikacji: 22 sty 2014

Zakres stron: 47 - 55

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

Słowa kluczoweDunkl operator, Dunkl transform, generalized translation operator

This content is open access.

Słowa kluczowe
Dunkl operator, Dunkl transform, generalized translation operator