In this paper, using a generalized Dunkl translation operator, we obtain an analog of Titchmarsh's Theorem for the Dunkl transform for functions satisfying the Lipschitz-Dunkl condition in $\mathrm{L}_{2,\alpha}=\mathrm{L}_{\alpha}^{2}(\mathbb{R})=\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx), \alpha>\frac{-1}{2}$.
Daher, R. & El Hamma, M. (2012). An analog of Titchmarsh's theorem for the Dunkl transform in the space $\mathrm{L}_{\alpha}^{2}(\mathbb{R})$. International Journal of Nonlinear Analysis and Applications, 3(1), 55–60. https://doi.org/10.22075/ijnaa.2012.48
MLA
Daher, R., & El Hamma, M. "An analog of Titchmarsh's theorem for the Dunkl transform in the space $\mathrm{L}_{\alpha}^{2}(\mathbb{R})$", International Journal of Nonlinear Analysis and Applications, 3, 1, 2012, 55–60. doi: 10.22075/ijnaa.2012.48
HARVARD
Daher, R., & El Hamma, M. (2012). 'An analog of Titchmarsh's theorem for the Dunkl transform in the space $\mathrm{L}_{\alpha}^{2}(\mathbb{R})$', International Journal of Nonlinear Analysis and Applications, 3(1), pp. 55–60. doi: 10.22075/ijnaa.2012.48
CHICAGO
Daher, R. & El Hamma, M., "An analog of Titchmarsh's theorem for the Dunkl transform in the space $\mathrm{L}_{\alpha}^{2}(\mathbb{R})$." International Journal of Nonlinear Analysis and Applications, 3 1 (2012): 55–60, doi: 10.22075/ijnaa.2012.48
VANCOUVER
Daher R., El Hamma M. An analog of Titchmarsh's theorem for the Dunkl transform in the space $\mathrm{L}_{\alpha}^{2}(\mathbb{R})$. IJNAA. 2012;3(1):55–60. doi: 10.22075/ijnaa.2012.48
International Journal of Nonlinear Analysis and Applications