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 |