Author:
S. EL OUADIH ,R. DAHER ,A. BELKHADIR
Abstract
In this paper, using a generalized Jacobi-Dunkl translation operator, we prove an analog of Titchmarsh's theorem for functions satisfying the Jacobi-Dunkl Lipschitz condition in $L^2\left(\mathbb{R}, A_{\alpha, \beta}(t) d t\right), \alpha \geq \beta \geq \frac{-1}{2}, \alpha \neq$ $\frac{-1}{2}$