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The Selberg-Arthur Trace Formula: Based on Lectures by James Arthur: 1503 (Lecture Notes in Mathematics, 1503) - Softcover
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
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Based on lectures given by James Arthur, this text discusses the trace formula of Selberg and Arthur, focusing on Arthur's trace formula for GL(r). Several examples are used in order to illustrate the basic concepts.
"About this title" may belong to another edition of this title.
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The Selberg-Arthur trace formula : based on lectures by James Arthur. Lecture notes in mathematics ; 1503
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Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona ; Budapest : Springer, 1992
ISBN 10: 3540550216
ISBN 13: 9783540550211
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The Selberg-Arthur Trace Formula: Based on Lectures by James Arthur (Lecture Notes in Mathematics, 1503)
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Condition: Good. Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. Seller Inventory # Z1-A-012-02586
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The Selberg-Arthur Trace Formula. Based on Lectures by James Arthur.
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The Selberg-Arthur Trace Formula : Based on Lectures by James Arthur
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Springer Berlin Heidelberg, 1992
ISBN 10: 3540550216
ISBN 13: 9783540550211
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The Selberg-Arthur Trace Formula: Based on Lectures by James Arthur (Lecture Notes in Mathematics, 1503)
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The Selberg-Arthur Trace Formula : Based on Lectures by James Arthur
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The Selberg-Arthur Trace Formula
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Springer Berlin Heidelberg Feb 1992, 1992
ISBN 10: 3540550216
ISBN 13: 9783540550211
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book based on lectures given by James Arthur discussesthe trace formula of Selberg and Arthur. The emphasis islaid on Arthur's trace formula for GL(r), with severalexamples in order to illustrate the basic concepts. The bookwill be useful and stimulating reading for graduate studentsin automorphic forms, analytic number theory, andnon-commutative harmonic analysis, as well as researchers inthese fields. Contents:I. Number Theory and Automorphic Representations.1.1. Someproblems in classical number theory, 1.2. Modular forms andautomorphic representations; II. Selberg's Trace Formula2.1. Historical Remarks, 2.2. Orbital integrals andSelberg's trace formula, 2.3.Three examples, 2.4. Anecessary condition, 2.5. Generalizations and applications;III. Kernel Functions and the Convergence Theorem, 3.1.Preliminaries on GL(r), 3.2. Combinatorics and reductiontheory, 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 theTrace Formula, 6.1. Weighted orbital integrals, 6.2. Theunipotent distribution; VII. The Spectral Theory, 7.1. Areview of the Eisenstein series, 7.2. Cusp forms,truncation, the trace formula; VIII.The Invariant TraceFormula and its Applications, 8.1. The invariant traceformula for GL(r), 8.2. Applications and remarks 108 pp. Englisch. Seller Inventory # 9783540550211
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The Selberg-Arthur Trace Formula : Based on Lectures by James Arthur
Published by
Springer Berlin Heidelberg, 1992
ISBN 10: 3540550216
ISBN 13: 9783540550211
New
Taschenbuch
Seller: AHA-BUCH GmbH, Einbeck, Germany
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book based on lectures given by James Arthur discussesthe trace formula of Selberg and Arthur. The emphasis islaid on Arthur's trace formula for GL(r), with severalexamples in order to illustrate the basic concepts. The bookwill be useful and stimulating reading for graduate studentsin automorphic forms, analytic number theory, andnon-commutative harmonic analysis, as well as researchers inthese fields. Contents:I. Number Theory and Automorphic Representations.1.1. Someproblems in classical number theory, 1.2. Modular forms andautomorphic representations; II. Selberg's Trace Formula2.1. Historical Remarks, 2.2. Orbital integrals andSelberg's trace formula, 2.3.Three examples, 2.4. Anecessary condition, 2.5. Generalizations and applications;III. Kernel Functions and the Convergence Theorem, 3.1.Preliminaries on GL(r), 3.2. Combinatorics and reductiontheory, 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 theTrace Formula, 6.1. Weighted orbital integrals, 6.2. Theunipotent distribution; VII. The Spectral Theory, 7.1. Areview of the Eisenstein series, 7.2. Cusp forms,truncation, the trace formula; VIII.The Invariant TraceFormula and its Applications, 8.1. The invariant traceformula for GL(r), 8.2. Applications and remarks. Seller Inventory # 9783540550211
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The Selberg-Arthur Trace Formula
Published by
Springer Berlin Heidelberg, 1992
ISBN 10: 3540550216
ISBN 13: 9783540550211
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Softcover
Seller: moluna, Greven, Germany
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book based on lectures given by James Arthur discussesthe trace formula of Selberg and Arthur. The emphasis islaid on Arthur s trace formula for GL(r), with severalexamples in order to illustrate the basic concepts. The bookwill be useful. Seller Inventory # 4893426
Quantity: Over 20 available
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The Selberg-Arthur Trace Formula: Based on Lectures by James Arthur (Lecture Notes in Mathematics, 1503)
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