Estimates of automorphic functions
Loading...
Date
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
We present a new method of estimating trilinear period for automorphic representations of SL(2,R). The method is based on the uniqueness principle in representation theory.
We show how to separate the exponentially decaying factor in the triple period from the essential automorphic factor which behaves polynomially. We also describe a general method which gives an estimate on the average of the automorphic factor and thus prove a convexity bound for the triple period.
21 pages, to appear in special issue of Moscow Math. J. in honor of Pierre Cartier
21 pages, to appear in special issue of Moscow Math. J. in honor of Pierre Cartier