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Topological groups. Lie groups --- Convolutions (Mathematics) --- Gamma functions --- L-functions --- Functional equations --- Equations, Functional --- Functional analysis --- Functions, L --- -Number theory --- Functions, Gamma --- Transcendental functions --- Convolution transforms --- Transformations, Convolution --- Distribution (Probability theory) --- Functions --- Integrals --- Transformations (Mathematics) --- Fonctions L --- Fonctions gamma --- Équations fonctionnelles --- Convolutions (mathématiques) --- Fonctions L. --- Fonctions gamma. --- Équations fonctionnelles.
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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
L-functions. --- Automorphic forms. --- Representations of groups.
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