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# Simon Marshall : L^p norms of arithmetic eigenfunctions

Let M be a compact Riemannian manifold, and f an L^2 normalised Laplace eigenfunction on M. A popular question in semiclassical analysis is how well one can bound the other L^p norms of f, or its restriction to a submanifold. I will give an introduction to this problem, and describe how one can make progress on it using the additional assumptions that M is arithmetic and f is a Hecke-Maass form.

**Category**: Number Theory**Duration**: 01:19:53**Date**: March 26, 2014 at 1:55 PM**Views**: 130-
**Tags:**seminar, UNC-Duke Number Theory Seminar Seminar

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