Décomposition spectrale et séries d'Eisenstein : une paraphrase de l'écriture

Bibliographic Information

Décomposition spectrale et séries d'Eisenstein : une paraphrase de l'écriture

Colette Moeglin, Jean-Loup Waldspurger

(Progress in mathematics, vol. 113)

Birkhäuser, c1994

  • : us
  • : sz

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Note

Bibliography: p. [339]-341

Includes index

Description and Table of Contents

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. 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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Details

  • NCID
    BA21340124
  • ISBN
    • 0817629386
    • 3764329386
  • Country Code
    sz
  • Title Language Code
    fre
  • Text Language Code
    fre
  • Place of Publication
    Basel
  • Pages/Volumes
    xxix, 341 p.
  • Size
    25 cm
  • Classification
  • Parent Bibliography ID
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