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arXiv · 2504.19769

Real Paley-Wiener theorems for the linear canonical Dunkl transform

Umamaheswari S·Sandeep Kumar Verma·Hatem Mejjaoli
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Abstract

We examine the Sobolev space associated with the linear canonical Dunkl transform and explore some properties of the linear canonical Dunkl operators. Building on these results, we establish a real Paley-Wiener theorem for the linear canonical Dunkl transform. Further, we characterize the square-integrable function f whose linear canonical Dunkl transform of the function is supported in the polynomial domain. Finally, we develop the Boas-type Paley-Wiener theorem for the linear canonical Dunkl transform.

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BibTeXRIS

Umamaheswari S, Sandeep Kumar Verma, Hatem Mejjaoli. 2025-04-28. Real Paley-Wiener theorems for the linear canonical Dunkl transform. https://arxiv.org/abs/2504.19769

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