OUR STORE IS CLOSED ON ANZAC DAY: THURSDAY 25 APRIL

Close Notification

Your cart does not contain any items

Modern Analysis of Automorphic Forms By Example

Paul Garrett (University of Minnesota)

$128.95

Hardback

Not in-store but you can order this
How long will it take?

QTY:

English
Cambridge University Press
22 November 2018
This is Volume 1 of a two-volume book that provides a self-contained introduction to the theory and application of automorphic forms, using examples to illustrate several critical analytical concepts surrounding and supporting the theory of automorphic forms. The two-volume book treats three instances, starting with some small unimodular examples, followed by adelic GL2, and finally GLn. Volume 1 features critical results, which are proven carefully and in detail, including discrete decomposition of cuspforms, meromorphic continuation of Eisenstein series, spectral decomposition of pseudo-Eisenstein series, and automorphic Plancherel theorem. Volume 2 features automorphic Green's functions, metrics and topologies on natural function spaces, unbounded operators, vector-valued integrals, vector-valued holomorphic functions, and asymptotics. With numerous proofs and extensive examples, this classroom-tested introductory text is meant for a second-year or advanced graduate course in automorphic forms, and also as a resource for researchers working in automorphic forms, analytic number theory, and related fields.

By:  
Imprint:   Cambridge University Press
Country of Publication:   United Kingdom
Volume:   Volume 1
Dimensions:   Height: 236mm,  Width: 158mm,  Spine: 26mm
Weight:   670g
ISBN:   9781107154001
ISBN 10:   1107154006
Series:   Modern Analysis of Automorphic Forms By Example 2 Hardback Book Set
Pages:   406
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active
1. Four small examples; 2. The quotient Z+GL2(k)/GL2(A); 3. SL3(Z), SL5(Z); 4. Invariant differential operators; 5. Integration on quotients; 6. Action of G on function spaces on G; 7. Discrete decomposition of cuspforms; 8. Moderate growth functions, theory of the constant term; 9. Unbounded operators on Hilbert spaces; 10. Discrete decomposition of pseudo-cuspforms; 11. Meromorphic continuation of Eisenstein series; 12. Global automorphic Sobolev spaces, Green's functions; 13. Examples – topologies on natural function spaces; 14. Vector-valued integrals; 15. Differentiable vector-valued functions; 16. Asymptotic expansions.

Paul Garrett is Professor of Mathematics at the University of Minnesota. His research focuses on analytical issues in the theory of automorphic forms. He has published numerous journal articles as well as five books.

Reviews for Modern Analysis of Automorphic Forms By Example

Review of Multi-volume Set: 'Any researcher working in the analytic theory of automorphic forms on higher rank groups will want to own this book. It is a treasure trove of examples and proofs that are well known to experts but very difficult to find in the open literature.' Dorian Goldfeld, Columbia University Review of Multi-volume Set: 'Written by a leading expert in the field, this volume provides a valuable account of the analytic theory of automorphic forms. The author chooses his examples to provide a middle road between the general theory and the most classical cases that do not exhibit all of the subject's more general phenomena. What makes this book special is this compromise and the subsequent aim, 'to discuss analytical issues at a technical level truly sufficient to convert appealing heuristics to persuasive, genuine proofs'.' John Friedlander, University of Toronto Review of Multi-volume Set: 'Any researcher working in the analytic theory of automorphic forms on higher rank groups will want to own this book. It is a treasure trove of examples and proofs that are well known to experts but very difficult to find in the open literature.' Dorian Goldfeld, Columbia University Review of Multi-volume Set: 'Written by a leading expert in the field, this volume provides a valuable account of the analytic theory of automorphic forms. The author chooses his examples to provide a middle road between the general theory and the most classical cases that do not exhibit all of the subject's more general phenomena. What makes this book special is this compromise and the subsequent aim, 'to discuss analytical issues at a technical level truly sufficient to convert appealing heuristics to persuasive, genuine proofs'.' John Friedlander, University of Toronto


See Also