Cohomology of Fuchsian groups and Fourier interpolation
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917989118377984 |
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| author | Gerbelli-Gauthier, Mathilde Venkatesh, Akshay |
| author_facet | Gerbelli-Gauthier, Mathilde Venkatesh, Akshay |
| contents | We give a new proof of a Fourier interpolation result first proved by Radchenko-Viazovska, deriving it from a vanishing result of the first cohomology of a Fuchsian group with coefficients in the Weil representation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_19511 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cohomology of Fuchsian groups and Fourier interpolation Gerbelli-Gauthier, Mathilde Venkatesh, Akshay Number Theory Functional Analysis Representation Theory We give a new proof of a Fourier interpolation result first proved by Radchenko-Viazovska, deriving it from a vanishing result of the first cohomology of a Fuchsian group with coefficients in the Weil representation. |
| title | Cohomology of Fuchsian groups and Fourier interpolation |
| topic | Number Theory Functional Analysis Representation Theory |
| url | https://arxiv.org/abs/2406.19511 |