Some Results for the Jacobi-Dunkl Transform in the Space $L^{p}(\mathbb{R},A_{\alpha,\beta}(x)dx)$

El Ouadih, S.; Daher, R.

doi:10.22080/cjms.2017.1631

Some Results for the Jacobi-Dunkl Transform in the Space $L^{p} (R, A_{α, β} (x) d x)$

Document Type : Research Articles

Authors

S. El ouadih
R. Daher

Department of Mathematics, Faculty of Sciences A¨ın Chock, University Hassan II, Casablanca, Morocco

10.22080/cjms.2017.1631

Abstract

In this paper, using a generalized Jacobi-Dunkl translation operator, we obtain a generalization of Titchmarsh's theorem for the Dunkl transform for functions satisfying the Lipschitz Jacobi-Dunkl condition in the space Lp.

Keywords

Jacobi-Dunkl operator
Jacobi-Dunkl transform
generalized Jacobi- Dunkl translation

Caspian Journal of Mathematical Sciences

Volume 5, Issue 2 - Serial Number 2
October 2016
Pages 98-105

Some Results for the Jacobi-Dunkl Transform in the Space Lp(R,Aα,β(x)dx)

Volume 5, Issue 2 - Serial Number 2October 2016Pages 98-105

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Some Results for the Jacobi-Dunkl Transform in the Space $L^{p} (R, A_{α, β} (x) d x)$

Volume 5, Issue 2 - Serial Number 2
October 2016
Pages 98-105