| Description |
1 online resource (xxii, 384 pages) : PDF file(s) |
| Series |
Cambridge studies in advanced mathematics ; 173 |
|
Cambridge studies in advanced mathematics ; 173.
|
| Summary |
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 |
| Notes |
Title from publisher's bibliographic system (viewed on 14 Sep 2018) |
| Bibliography |
Includes bibliographical references and index |
| Subject |
Automorphic forms.
|
|
Forms (Mathematics)
|
|
Formas automórficas
|
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Automorphic forms
|
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Forms (Mathematics)
|
| Form |
Electronic book
|
| ISBN |
9781316650332 |
|
1316650332 |
|
