Real Paley-Wiener theorems for the linear canonical Dunkl transform
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866916710147162112 |
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| author | S, Umamaheswari Verma, Sandeep Kumar Mejjaoli, Hatem |
| author_facet | S, Umamaheswari Verma, Sandeep Kumar Mejjaoli, Hatem |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_19769 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Real Paley-Wiener theorems for the linear canonical Dunkl transform S, Umamaheswari Verma, Sandeep Kumar Mejjaoli, Hatem Classical Analysis and ODEs Functional Analysis 33C52, 42B10, 43A15, 43A32, 46F12 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. |
| title | Real Paley-Wiener theorems for the linear canonical Dunkl transform |
| topic | Classical Analysis and ODEs Functional Analysis 33C52, 42B10, 43A15, 43A32, 46F12 |
| url | https://arxiv.org/abs/2504.19769 |