Document Type : Research Paper

Authors

• M. El Hamma
• R. Daher
• A. El Houasni
• A. Khadari

Department of Mathematics, Faculty of Science Ain Chock, University Hassan II, Casablanca, Morocco

Abstract

Using a generalized spherical mean operator, we obtain the generalization of Titchmarsh's theorem for the Dunkl transform for functions satisfying the Lipschitz condition in L2(Rd;wk), where wk is a weight function invariant under the action of an associated reection groups.

Keywords

• Dunkl operator
• Dunkl transform
• generalized spherical mean operator