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portada decomposition spectrale et series d'eisenstein (in French)
Type
Physical Book
Author
Publisher
Year
1993
Language
French
Pages
344
Format
Hardcover
Dimensions
23.4x15.6x2.2 cm
Weight
0.70 kg.
ISBN
3764329386
ISBN13
9783764329389
Categories

decomposition spectrale et series d'eisenstein (in French)

C. Moeglin (Author) · J. L. Waldspurger (Author) · Birkhauser · Hardcover

decomposition spectrale et series d'eisenstein (in French) - Moeglin, C. ; Waldspurger, J. L.

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Synopsis "decomposition spectrale et series d'eisenstein (in French)"

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. 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 welcomed by number theorists, representation theorists, and all whose work involves the Langlands program.

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