A spectral theorem for compact representations and non-unitary cusp forms
Number Theory
2024-01-30 v2
Abstract
We show that a compact representation of a semisimple Lie group has an orthogonal decomposition into finite length representations. This generalises and simplifies a number of more special spectral theorems in the literature. We apply it to the case of cusp forms, thus settling the spectral theory for the space of non-unitary twisted cusp forms.
Cite
@article{arxiv.2401.01859,
title = {A spectral theorem for compact representations and non-unitary cusp forms},
author = {Anton Deitmar},
journal= {arXiv preprint arXiv:2401.01859},
year = {2024}
}