Large values of cusp forms on GL(n)

Farrell Brumley; Nicolas Templier

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arXiv · 1411.4317

Large values of cusp forms on GL(n)

Farrell Brumley·Nicolas Templier

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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.

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Farrell Brumley, Nicolas Templier. 2014-11-16. Large values of cusp forms on GL(n). https://arxiv.org/abs/1411.4317

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