Gelfand pairs and bounds for various Fourier coefficients of automorphic functions

Student thesis: Thesis

Abstract

We explain how the uniqueness of certain invariant functionals on irreducible unitary representations leads to non-trivial spectral identities between various periods of automorphic functions. As an example of an application ofthese identities, we deduce a non-trivial bounds for the corresponding unipotent and spherical Fourier coefficients of Maass forms.
Date of Award2006
Original languageAmerican English
Awarding Institution
  • Research Institute for Mathematical Sciences, Department of Mathematics

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