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 Award | 2006 |
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| Original language | American English |
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| Awarding Institution | - The Gelbart Research Institute for the Mathematical Sciences
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Gelfand pairs and bounds for various Fourier coefficients of automorphic functions
Reznikov, A. (Author). 2006
Student thesis: Thesis