Decomposition Spectrale et Series d'Eisenstein

1993
ISBN: 978-3-7643-2938-9
Verlag: Springer

Buch, Französisch, Band 113, 344 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 729 g

Reihe: Progress 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. 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.

Zielgruppe

Research

Autoren/Hrsg.

Waldspurger, J. L.

Moeglin, C.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Zahlentheorie
• Mathematik | Informatik Mathematik Mathematik Allgemein
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie