Estimates of automorphic functions

Details Estimates of automorphic functions Estimates of automorphic functions

2003-05-25

arxiv.org/abs/math/0305351v2

Mathematics

Representation Theory

21 pages, to appear in special issue of Moscow Math. J. in honor of Pierre Cartier

Scientific paper

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.

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