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Cohomology of Fuchsian groups and Fourier interpolation

Authors :
Gerbelli-Gauthier, Mathilde
Venkatesh, Akshay
Publication Year :
2024

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.

Subjects

Subjects :
Mathematics - Number Theory
Mathematics - Functional Analysis
Mathematics - Representation Theory

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2406.19511
Document Type :
Working Paper

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