Large values of cusp forms on GL(n)
Number Theory
2019-06-04 v4 Representation Theory
Spectral Theory
Abstract
We establish the transition behavior of Jacquet-Whittaker functions on split semi-simple Lie groups. As a consequence, we show that for certain finite volume Riemannian manifolds, the local bound for normalized Laplace eigenfunctions does not hold globally.
Cite
@article{arxiv.1411.4317,
title = {Large values of cusp forms on GL(n)},
author = {Farrell Brumley and Nicolas Templier},
journal= {arXiv preprint arXiv:1411.4317},
year = {2019}
}
Comments
55 pages, 3 figures. Corrections in response to referee comments