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The Descent Map from Automorphic Representations of GL(n) to Classical Groups

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The Descent Map from Automorphic Representations of GL(n) to Classical Groups - Soudry, David, and Ginzburg, David, and Rallis, Stephen
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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 ...

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The Descent Map from Automorphic Representations of GL(n) to Classical Groups 2011, World Scientific Publishing Company

ISBN-13: 9789814304986

Hardcover