Large values of cusp forms on GL(n)
arXiv:1411.4317
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.
55 pages, 3 figures. Corrections in response to referee comments
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