Descent Map From Automorphic Representations Of Gl(n) To Classical Groups, The
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A01=David Ginzburg
A01=David Soudry
A01=Stephen Rallis
Author_David Ginzburg
Author_David Soudry
Author_Stephen Rallis
Automorphic Representations
Category=PBF
Eisenstein Series
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Fourier-Jacobi Coefficients
FourierAcAEURA"Jacobi Coefficients
Fourier–Jacobi Coefficients
Gelfand-Graev Coefficients
GelfandAcAEURA"Graev Coefficients
Gelfand–Graev Coefficients
Jacquet Module
L-Functions
Langlands Functoriality
Rankin-Selberg Integrals
RankinAcAEURA"Selberg Integrals
Rankin–Selberg Integrals
Whittaker Mode
Product details
- ISBN 9789814304986
- Publication Date: 04 Jul 2011
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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 representation theory of reductive groups over local fields. Relatively self-contained, the content of some of the chapters can serve as topics for graduate students seminars.
