{"title":"Salahoddin Shokranian","description":null,"products":[{"product_id":"selberg-arthur-trace-formula-book-salahoddin-shokranian-9783540550211","title":"The Selberg-Arthur Trace Formula","description":"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","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52145437770001,"sku":"NLS9783540550211","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783540550211.jpg?v=1757593616"}],"url":"https:\/\/www.worldofbooks.com\/collections\/author-books-by-salahoddin-shokranian.oembed","provider":"World of Books ","version":"1.0","type":"link"}