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Decomposition Spectrale et Series d'Eisenstein : Une Paraphrase de l'Ecriture :  Une Paraphrase de l'Ecriture - Colette Moeglin

Decomposition Spectrale et Series d'Eisenstein : Une Paraphrase de l'Ecriture

Une Paraphrase de l'Ecriture

Hardcover

Published: January 1993
Language: French
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A deep problem at the intersection of number and group theory is the decomposition of the space L2 (G((Q)G(/A)), where G is a reductive group defined over (Q and /A is the ring of adeles of (Q. Langlands reduced this decomposition to that of the (smaller) spaces of cuspidal automorphic forms for certain subgroups of G. The present book describes this proof in detail. The starting point is the theory of automorphic forms, which can also serve as a first step towards understanding the Arthur-Selberg trace formula. To make the book reasonably self-contained, the authors have also provided essential background to subjects such as automorphic forms, Eisenstein series, Eisenstein pseudo-series (or wave-packets) and their properties. It is thus also an introduction, suitable for graduate students, to the theory of automorphic forms, written using contemporary terminology. It will be relevant to number theorists, representation theorists, and all whose work involves the Langlands program.

ISBN: 9783764329389
ISBN-10: 3764329386
Series: Progress in Mathematics
Audience: Professional
Format: Hardcover
Language: French
Number Of Pages: 362
Published: January 1993
Publisher: Birkhauser Verlag AG
Country of Publication: CH
Dimensions (cm): 23.39 x 15.6  x 2.24
Weight (kg): 0.7