The Selberg-Arthur Trace Formula : based on Lectures by James Arthur
This book based on lectures given by James Arthur discusses the trace formula of Selberg and Arthur. The emphasis is laid on Arthur's trace formula for GL(r), with several examples in order to illustrate the basic concepts. The book will be useful and stimulating reading for graduate students i...
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| Auteur principal: | |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Collection: | Lecture notes in mathematics
1503 |
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The Selberg-Arthur trace formula, based on lectures by James Arthur, Salahoddin Shokranian, Berlin, Springer-Verlag, 1992, 1 vol. (VI-97 p.), Lecture notes in mathematics, 3-540-55021-6 • The Selberg-Arthur Trace Formula, Texte imprimé, 9783662173039 |
| LEADER | 04474nam a22003617a 4500 | ||
|---|---|---|---|
| 001 | 971487 | ||
| 008 | 110927q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN15520792X | ||
| 020 | |a 9783540466598 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 100 | 1 | |a Shokranian, Salahoddin, |d 1948- | |
| 245 | 1 | 0 | |a The Selberg-Arthur Trace Formula : |b based on Lectures by James Arthur |c Salahoddin Shokranian. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1503 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Contents: Number Theory and Automorphic Representations: Some problems in classical number theory. Modular forms and automorphic representations -- Selberg's Trace Formula: Historical Remarks. Orbital integrals and Selberg's trace formula. Three examples. A necessary condition. Generalizations and applications -- Kernel Functions and the Convergence Theorem: Preliminaries on GL(r). Combinatorics and reduction theory. The convergence theorem -- The Adélic Theory: Basic facts -- The Geometric Theory: The JTO(f) and JT(f) distributions. A geometric I-function. The weight functions -- The Geometric Expansion of the Trace Formula: Weighted orbital integrals. The unipotent distribution -- The Spectral Theory: A review of the Eisenstein series. Cusp forms, truncation, the trace formula -- The Invariant Trace Formula and Its Applications: The in- variant trace formula for GL(r). Applications and remarks -- Bibliography -- Subject Index. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This book based on lectures given by James Arthur discusses the trace formula of Selberg and Arthur. The emphasis is laid on Arthur's trace formula for GL(r), with several examples in order to illustrate the basic concepts. The book will be useful and stimulating reading for graduate students in automorphic forms, analytic number theory, and non-commutative harmonic analysis, as well as researchers in these fields. Contents: I. Number Theory and Automorphic Representations.1.1. Some problems in classical number theory, 1.2. Modular forms and automorphic representations; II. Selberg's Trace Formula 2.1. Historical Remarks, 2.2. Orbital integrals and Selberg's trace formula, 2.3.Three examples, 2.4. A necessary condition, 2.5. Generalizations and applications; III. Kernel Functions and the Convergence Theorem, 3.1. Preliminaries on GL(r), 3.2. Combinatorics and reduction theory, 3.3. The convergence theorem; IV. The Ad lic Theory, 4.1. Basic facts; V. The Geometric Theory, 5.1. The JTO(f) and JT(f) distributions, 5.2. A geometric I-function, 5.3. The weight functions; VI. The Geometric Expansionof the Trace Formula, 6.1. Weighted orbital integrals, 6.2. The unipotent distribution; VII. The Spectral Theory, 7.1. A review of the Eisenstein series, 7.2. Cusp forms, truncation, the trace formula; VIII.The Invariant Trace Formula and its Applications, 8.1. The invariant trace formula for GL(r), 8.2. Applications and remarks. | ||
| 650 | |a Nombres, Théorie des | ||
| 650 | |a Groupes topologiques | ||
| 650 | |a Formule de trace de Selberg | ||
| 776 | 0 | |0 022353216 |t The Selberg-Arthur trace formula |o based on lectures by James Arthur |f Salahoddin Shokranian |c Berlin |n Springer-Verlag |d 1992 |p 1 vol. (VI-97 p.) |s Lecture notes in mathematics |z 3-540-55021-6 | |
| 776 | 0 | |t The Selberg-Arthur Trace Formula |b Texte imprimé |z 9783662173039 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0092305 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-TPWL5N2V-P |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750652039 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0092305 |z Accès Université d'Orléans | |
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| 997 | |0 971487 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||