Cohomology of Fuchsian groups and Fourier interpolation
Abstract
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2024
- DOI:
- 10.48550/arXiv.2406.19511
- arXiv:
- arXiv:2406.19511
- Bibcode:
- 2024arXiv240619511G
- Keywords:
-
- Mathematics - Number Theory;
- Mathematics - Functional Analysis;
- Mathematics - Representation Theory