Spectral Decomposition and Eisenstein Series: A Paraphrase of the Scriptures (Cambridge Tracts in Mathematics) - A Paraphrase of the Scriptures - C. Moeglin, J. L. Waldspurger, C. Moeglin;J-.L. Waldspurger, Waldspurger, Jean-Loup (1995)
ISBN 9780521418935
Subject Automorphic forms; Decomposition (Mathematics); Eisenstein series; Spectral theory (Mathematics)
Publisher Cambridge University Press
Publication Date 11/24/1995
Format Hardcover (235 x 160 mm)
Language eng
Translator Leila Schneps
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.
Personal Details
Collection Status In Collection
Index 1844
Read It Yes
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Product Details
LoC Classification QA295 .M62 1995
Dewey 515/.243
Cover Price $137.00
No. of Pages 368