Cohomology of Fuchsian groups and Fourier interpolation
arXiv:2406.19511
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.
29 pages. Minor edits and new example in Section 6. Comments Welcome!