Some results for the Jacobi-Dunkl transform in the space \(L^2\left(\mathbb{R}, A_{\alpha, \beta}(t) d t\right)\)
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DOI:
https://doi.org/10.26637/mjm304/007Abstract
In this paper, using a generalized Jacobi-Dunkl translation operator, we prove an analog of Titchmarsh's theorem for functions satisfying the Jacobi-Dunkl Lipschitz condition in \(L^2\left(\mathbb{R}, A_{\alpha, \beta}(t) d t\right), \alpha \geq \beta \geq \frac{-1}{2}, \alpha \neq\) \(\frac{-1}{2}\)
Keywords:
Jacobi-Dunkl operator, Jacobi-Dunkl transform, generalized Jacobi-Dunkl translationMathematics Subject Classification:
42B37- Pages: 491-497
- Date Published: 01-10-2015
- Vol. 3 No. 04 (2015): Malaya Journal of Matematik (MJM)
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