Local integral transforms and global spectral decomposition
Number Theory
2025-09-16 v2
Abstract
We establish an explicit global spectral decomposition of shifted convolution sums and the second moment of automorphic -functions for Maass forms with explicit integral transforms as well as explicit inversion formulae over every local field.
Cite
@article{arxiv.2404.10692,
title = {Local integral transforms and global spectral decomposition},
author = {Valentin Blomer and Subhajit Jana and Paul D. Nelson},
journal= {arXiv preprint arXiv:2404.10692},
year = {2025}
}
Comments
Minor update, to appear in Geom. Funct. Anal. (GAFA)