Spectral decomposition and Eisenstein series: une paraphrase de l'écriture
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...
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1995
|
| Schriftenreihe: | Cambridge tracts in mathematics
113 |
| Links: | https://doi.org/10.1017/CBO9780511470905 |
| Zusammenfassung: | 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 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. |
| Umfang: | 1 Online-Ressource (xxvii, 338 Seiten) |
| ISBN: | 9780511470905 |
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| 100 | 1 | |a Moeglin, Colette |d 1953- | |
| 245 | 1 | 0 | |a Spectral decomposition and Eisenstein series |b une paraphrase de l'écriture |c C. Moeglin, J.-L. Waldspurger |
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| 490 | 1 | |a Cambridge tracts in mathematics |v 113 | |
| 520 | |a 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 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. | ||
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| spelling | Moeglin, Colette 1953- Spectral decomposition and Eisenstein series une paraphrase de l'écriture C. Moeglin, J.-L. Waldspurger Spectral Decomposition & Eisenstein Series Cambridge Cambridge University Press 1995 1 Online-Ressource (xxvii, 338 Seiten) txt c cr Cambridge tracts in mathematics 113 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 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. Waldspurger, Jean-Loup 1953- Erscheint auch als Druck-Ausgabe 9780521070355 Erscheint auch als Druck-Ausgabe 9780521418935 |
| spellingShingle | Moeglin, Colette 1953- Spectral decomposition and Eisenstein series une paraphrase de l'écriture |
| title | Spectral decomposition and Eisenstein series une paraphrase de l'écriture |
| title_alt | Spectral Decomposition & Eisenstein Series |
| title_auth | Spectral decomposition and Eisenstein series une paraphrase de l'écriture |
| title_exact_search | Spectral decomposition and Eisenstein series une paraphrase de l'écriture |
| title_full | Spectral decomposition and Eisenstein series une paraphrase de l'écriture C. Moeglin, J.-L. Waldspurger |
| title_fullStr | Spectral decomposition and Eisenstein series une paraphrase de l'écriture C. Moeglin, J.-L. Waldspurger |
| title_full_unstemmed | Spectral decomposition and Eisenstein series une paraphrase de l'écriture C. Moeglin, J.-L. Waldspurger |
| title_short | Spectral decomposition and Eisenstein series |
| title_sort | spectral decomposition and eisenstein series une paraphrase de l ecriture |
| title_sub | une paraphrase de l'écriture |
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