Generalization of Titchmarsh's Theorem for the Dunkl Transform in the Space $l^p(r)$
Year: 2012
Type: article
Abstract: 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 $\alpha>-\frac{1}{2}$ .
Authors: Elhamma Mohamed, Hind Lahlai, Radouan Daher
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W2057903100