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Estimates of automorphic functions

Research paper by Joseph Bernstein, Andre Reznikov

Indexed on: 12 Jun '03Published on: 12 Jun '03Published in: Mathematics - Representation Theory



Abstract

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.