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

Document Type: Research articles


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


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.


Article Title [Persian]


Abstract [Persian]