Mohamed, E., Lahlai, H., Daher, R. (2015). GENERALIZATION OF TITCHMARSH'S THEOREM FOR THE DUNKL TRANSFORM IN THE SPACE $L^P(R)$. International Journal of Mathematical Modelling & Computations, 5(2 (SPRING)), 127-131.
Elhamma Mohamed; Hind Lahlai; Radouan Daher. "GENERALIZATION OF TITCHMARSH'S THEOREM FOR THE DUNKL TRANSFORM IN THE SPACE $L^P(R)$". International Journal of Mathematical Modelling & Computations, 5, 2 (SPRING), 2015, 127-131.
Mohamed, E., Lahlai, H., Daher, R. (2015). 'GENERALIZATION OF TITCHMARSH'S THEOREM FOR THE DUNKL TRANSFORM IN THE SPACE $L^P(R)$', International Journal of Mathematical Modelling & Computations, 5(2 (SPRING)), pp. 127-131.
Mohamed, E., Lahlai, H., Daher, R. GENERALIZATION OF TITCHMARSH'S THEOREM FOR THE DUNKL TRANSFORM IN THE SPACE $L^P(R)$. International Journal of Mathematical Modelling & Computations, 2015; 5(2 (SPRING)): 127-131.
GENERALIZATION OF TITCHMARSH'S THEOREM FOR THE DUNKL TRANSFORM IN THE SPACE $L^P(R)$
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 $\alpha>-\frac{1}{2}$.
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