Spectral Decomposition and Eisenstein Series by C. Moeglin
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Spectral Decomposition and Eisenstein Series
By C. Moeglin

Spectral Decomposition and Eisenstein Series

A Paraphrase of the Scriptures

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Format: Hardback

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Spectral Decomposition and Eisenstein Series by C. Moeglin

Book Description

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, is a deep problem at the intersection of number and group theory. Langlands reduced this decomposition to that of the (smaller) spaces of cuspidal automorphic forms for certain subgroups of G. This 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 also provide essential background in subjects such as: automorphic forms; Eisenstein series; Eisenstein pseudo-series, and their properties. It is thus also an introduction, suitable for graduate students, to the theory of automorphic forms, the first written using contemporary terminology. It will be welcomed by number theorists, representation theorists and all whose work involves the Langlands program.

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Book Details

ISBN: 9780521418935
ISBN-10: 0521418933
Format: Hardback
(228mm x 152mm x 24mm)
Pages: 368
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 2-Nov-1995
Country of Publication: United Kingdom

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Books By Author C. Moeglin

Spectral Decomposition and Eisenstein Series by C. Moeglin Spectral Decomposition and Eisenstein Series, Paperback (July 2008)

A self-contained introduction to automorphic forms, and Eisenstein series and pseudo-series, proving some of Langlands' work at the intersection of number theory and group theory.

» View all books by C. Moeglin

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