Analytic continuation of representations and estimates of automorphic forms
Representation Theory
2016-09-07 v1
Abstract
Properties of analytic vectors in representations of SL(2,R) are used to give new bounds for the triple products recently considered by P. Sarnak. A conjecture of Sarnak about such products is proved. The results of this paper generalize results of A. Good and M. Jutila about special cases, but the techniques are entirely different. One consequence of these results is a new estimate of the magnitude of the Fourier coefficients of cusp forms for non-arithmetic sub-groups of SL(2,R).
Cite
@article{arxiv.math/9907202,
title = {Analytic continuation of representations and estimates of automorphic forms},
author = {Joseph Bernstein and Andre Reznikov},
journal= {arXiv preprint arXiv:math/9907202},
year = {2016}
}
Comments
24 pages, published version, abstract added in migration