Weighted Gelfand pairs, weighted spherical Fourier transform and multipliers
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917687393779712 |
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| author | Tissinam, Assèkè Y. Issa, Abudulaï Mensah, Yaogan |
| author_facet | Tissinam, Assèkè Y. Issa, Abudulaï Mensah, Yaogan |
| contents | A kind of generalized Gelfand pair is introduced via a Banach algebra consisting of bi-invariant functions in a weighted Lebesgue space. The related spherical functions and the Fourier transformation are constructed. The multipliers of the underlying algebra are characterized by this Fourier transformation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_03613 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weighted Gelfand pairs, weighted spherical Fourier transform and multipliers Tissinam, Assèkè Y. Issa, Abudulaï Mensah, Yaogan Functional Analysis 43A20, 43A22, 43A30 A kind of generalized Gelfand pair is introduced via a Banach algebra consisting of bi-invariant functions in a weighted Lebesgue space. The related spherical functions and the Fourier transformation are constructed. The multipliers of the underlying algebra are characterized by this Fourier transformation. |
| title | Weighted Gelfand pairs, weighted spherical Fourier transform and multipliers |
| topic | Functional Analysis 43A20, 43A22, 43A30 |
| url | https://arxiv.org/abs/2406.03613 |