$(\delta, \gamma)$-Dunkl Lipschitz functions in the space $\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx)$

$(\delta, \gamma)$-Dunkl Lipschitz functions in the space $\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx)$

Using a generalized Dunkl translation, we obtain an analog of Theorem 5.2 in Younis' paper [2] for the Dunkl transform for functions satisfying the $(\delta, \gamma)$-Dunkl Lipschitz condition in the space $\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx)$.}

Bibliographic Details
Main Authors: M. El Hamma, H. Lahlali, R. Daher
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2014-07-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
dunkl operator
dunkl transform
generalized dunkl translation
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/1347

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