Spectral Decomposition and Eisenstein Series: A Paraphrase of the Scriptures (Cambridge Tracts in Mathematics, Series Number 113)

Moeglin, C., Waldspurger, J. L.

ISBN 10: 052107035X / ISBN 13: 9780521070355

Published by Cambridge University Press, 2008

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Bibliographic Details

• Title: Spectral Decomposition and Eisenstein Series: A Paraphrase of the Scriptures (Cambridge Tracts in Mathematics, Series Number 113)
• Publisher: Cambridge University Press
• Publication Date: 2008
• Language: English
• ISBN 10: 052107035X
• ISBN 13: 9780521070355
• Binding: paperback
• Condition: Like New
• Book Type: book

About this title

Synopsis

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 toward 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.

Review

Review of the hardback: '... a superb introduction to analytic theory of automorphic forms.' European Mathematical Society Newsletter