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

Document Type: Research articles

Authors

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

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.

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Abstract [Persian]

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