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

Mohamed El Hamma; Radouan Daher

doi:10.2478/awutm-2013-0015

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

Annals of West University of Timisoara - Mathematics and Computer Science

Volume 51 (2013): Issue 2 (December 2013)

By: Mohamed El Hamma and Radouan Daher

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; jxj^2α+1dx), where k 2 f1; 2; ...g and .

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