منابع مشابه
Announcements Projections of C ° ° Automorphic Forms
The purpose of this paper is to exhibit an explicit formula which describes the projection operator from the space of C°° automorphic forms to the subspace of holomorphic cusp forms, and to apply it to the zeta functions of Rankin type. Fix a number k > 0 such that 2k G Z. Let TV be a positive integer such that TV = 0 mod(4) if k fi Z, and let x(Z/NZ) —+ C be a Dirichlet character modulo TV. De...
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We present a new method to estimate trilinear period for automorphic representations of SL2(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 au...
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Let r c PSL(2, JR.) be a discrete subgroup with quotient r\H offinite volume but not compact. The spectrum of the Laplacian on L 2 auto-morphic functions is unstable under perturbations; however, it becomes muchmore manageable when the scattering frequencies are adjoined (with multiplic-ity equal to the order of the pole of the determinant of the scattering matrixat these po...
متن کاملScattering Theory for Automorphic Functions
This paper is an expository account of our 1976 monograph [6] on Scattering theory for automorphic functions. Several improvements have been incorporated: a more direct proof of the meromorphic character of the Eisenstein series, an explicit formula for the translation representations and a simpler derivation of the spectral representations. Our hyperbolic approach to the Selberg trace formula ...
متن کاملLectures on automorphic L-functions
PREFACE This article follows the format of five lectures that we gave on automorphic Lfunctions. The lectures were intended to be a brief introduction for number theorists to some of the main ideas in the subject. Three of the lectures concerned the general properties of automorphic L-functions, with particular reference to questions of spectral decomposition. We have grouped these together as ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1968
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1968-0224813-6