The Selberg-Arthur trace formula : based on lectures by James Arthur. Lecture notes in mathematics ; 1503

Shokranian, Salahoddin,

ISBN 10: 3540550216 / ISBN 13: 9783540550211

Edité par Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona ; Budapest : Springer, 1992

A propos de cet article

VI, 97 pages Ex-Library book in good condition. 9783540550211 Sprache: Englisch Gewicht in Gramm: 330.

N° de réf. du vendeur 1162205

Détails bibliographiques

• Titre: The Selberg-Arthur trace formula : based on lectures by James Arthur. Lecture notes in mathematics ; 1503
• Éditeur: Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona ; Budapest : Springer
• Date de parution: 1992
• Langue: anglais
• ISBN à 10 chiffres: 3540550216
• ISBN à 13 chiffres: 9783540550211
• Reliure: Couverture souple
• Catalogues du vendeur:
  • AA Varia

A propos de ce titre

Synopsis

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