منابع مشابه
Estimates of Automorphic Functions
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...
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By using norm estimates of the pre-Schwarzian derivatives for certain family of analytic functions, we shall give simple sufficient conditions for univalence of analytic functions.
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For a constant $alphain left(-frac{pi}{2},frac{pi}{2}right)$, we definea subclass of the spirallike functions, $SP_{p}(alpha)$, the setof all functions $fin mathcal{A}$[releft{e^{-ialpha}frac{zf'(z)}{f(z)}right}geqleft|frac{zf'(z)}{f(z)}-1right|.]In the present paper, we shall give the estimate of the norm of the pre-Schwarzian derivative $mathrm{T}...
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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 ...
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ژورنال
عنوان ژورنال: Moscow Mathematical Journal
سال: 2004
ISSN: 1609-3321,1609-4514
DOI: 10.17323/1609-4514-2004-4-1-19-37