| Spectral Decomposition and Eisenstein Series: A Paraphrase of the Scriptures Contributor(s): Moeglin, C. (Author), Waldspurger, J. L. (Author), Schneps, Leila (Translator) |
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ISBN: 0521418933 ISBN-13: 9780521418935 Publisher: Cambridge University Press OUR PRICE: $152.00 Product Type: Hardcover - Other Formats Published: November 1995 Annotation: The decomposition of the space L(superscript 2) (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 towards 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. It will be welcomed by number theorists, representation theorists, and all whose work involves the Langlands' program. |
| Additional Information |
| BISAC Categories: - Mathematics | Infinity - Mathematics | Algebra - General |
| Dewey: 515.243 |
| LCCN: 94011429 |
| Series: Cambridge Tracts in Mathematics (Hardcover) |
| Physical Information: 0.96" H x 6.28" W x 9.25" (1.40 lbs) 368 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. 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. |