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Rankin-Selberg convolutions for SO 2l+1 x GLn: local theory
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ISBN: 0821825682 Year: 1993 Publisher: Providence, R.I. American Mathematical Society


Book
The descent map from automorphic representations of GL to classical groups
Authors: --- ---
ISBN: 1283433397 9786613433398 9814304999 9789814304993 9789814304986 9814304980 Year: 2011 Publisher: Singapore Hackensack, NJ World Scientific Pub.

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Abstract

This book introduces the method of automorphic descent, providing an explicit inverse map to the (weak) Langlands functorial lift from generic, cuspidal representations on classical groups to general linear groups. The essence of this method is the study of certain Fourier coefficients of Gelfand-Graev type, or of Fourier-Jacobi type when applied to certain residual Eisenstein series. This book contains a complete account of this automorphic descent, with complete, detailed proofs. The book will be of interest to graduate students and mathematicians, who specialize in automorphic forms and in


Book
Automorphic Representations, L-Functions and Applications: Progress and Prospects

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