OICC Press International Journal of Mathematical Modelling & Computations 2228-6233 5 2 2015 03 21 GENERALIZATION OF TITCHMARSH'S THEOREM FOR THE DUNKL TRANSFORM IN THE SPACE $L^P(R)$ 127 131 EN Elhamma Mohamed Hind Lahlai Radouan Daher Journal Article 2015 03 21 In this paper‎, ‎using a generalized Dunkl translation operator‎, ‎we obtain a generalization of Titchmarsh's Theorem for the Dunkl transform for functions satisfying the$(\psi,p)$-Lipschitz Dunkl condition in the space $\mathrm{L}_{p,\alpha}=\mathrm{L}^{p}(\mathbb{R},|x|^{2\alpha+1}dx)$‎, ‎where $\alpha>-\frac{1}{2}$.