Gelfand pairs and bounds for various Fourier coefficients of automorphic functions

Student thesis: Thesis


We explain how the uniqueness of certain invariant functionals on irreducibleunitary representations leads to non-trivial spectral identities between variousperiods of automorphic functions. As an example of an application ofthese identities,we deduce a non-trivial bounds for the corresponding unipotent and spherical Fouriercoefficients of Maass forms.
Date of Award2006
Original languageAmerican English
Awarding Institution
  • The Gelbart Research Institute for the Mathematical Sciences

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