Gelfand pairs and bounds for various Fourier coefficients of automorphic functions

A. Reznikov

Gelfand pairs and bounds for various Fourier coefficients of automorphic functions

A. Reznikov

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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.

Original language	American English
Title of host publication	RIMS
State	Published - 2006

Bibliographical note

Place of conference:Kyoto

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title = "Gelfand pairs and bounds for various Fourier coefficients of automorphic functions",

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AB - 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.

M3 - Conference contribution

BT - RIMS

ER -

Gelfand pairs and bounds for various Fourier coefficients of automorphic functions

Abstract

Bibliographical note

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Cite this