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Moscow Mathematical Journal, 2004, Volume 4, Number 1, Pages 19–37
DOI: https://doi.org/10.17323/1609-4514-2004-4-1-19-37 (Mi mmj141) 		 
This article is cited in 31 scientific papers (total in 31 papers)

Estimates of automorphic functions

J. H. Bernsteina, A. Reznikovb

a Tel Aviv University
b Bar-Ilan University
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DOI: https://doi.org/10.17323/1609-4514-2004-4-1-19-37
Abstract: We present a new method to estimate trilinear period for automorphic representations of $SL_2(\mathbb R)$. 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 for the average of the automorphic factor and thus prove a convexity bound for the triple period.
Key words and phrases: Automorphic representations, periods, uniqueness.
Received: May 6, 2003
Bibliographic databases:
MSC: 11F67, 11F70, 22E45
Language: English
Citation: J. H. Bernstein, A. Reznikov, “Estimates of automorphic functions”, Mosc. Math. J., 4:1 (2004), 19–37
Citation in format AMSBIB
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\by J.~H.~Bernstein, A.~Reznikov
\paper Estimates of automorphic functions
\jour Mosc. Math.~J.
\yr 2004
\vol 4
\issue 1
\pages 19--37
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\crossref{https://doi.org/10.17323/1609-4514-2004-4-1-19-37}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2074982}
\zmath{https://zbmath.org/?q=an:1081.11037}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000208594500002}
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    • This publication is cited in the following 31 articles:
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