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Spectral Decomposition and Eisenstein Series Hardback: A Paraphrase of the Scriptures (Cambridge Tracts in Mathematics)
C. Moeglin
(Author)
·
J. L. Waldspurger
(Author)
·
Leila Schneps
(Translated by)
·
Cambridge University Press
· Hardcover
Spectral Decomposition and Eisenstein Series Hardback: A Paraphrase of the Scriptures (Cambridge Tracts in Mathematics) - Moeglin, C. ; Waldspurger, J. L. ; Schneps, Leila
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Synopsis "Spectral Decomposition and Eisenstein Series Hardback: A Paraphrase of the Scriptures (Cambridge Tracts in Mathematics)"
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.
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The book is written in English.
The binding of this edition is Hardcover.
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