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

M. El Hamma, H. Lahlali, R. Daher

Abstract


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 $\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx)$.}


Keywords


Dunkl operator, Dunkl transform, generalized Dunkl translation

Full Text: Article References
3 :: 6

Refbacks

  • There are currently no refbacks.


Creative Commons License
The journal is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported.