Modern Analysis of Automorphic Forms By Example: Volume 1 / Cambridge Studies in Advanced Mathematics (ePub)
(Sprache: Englisch)
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...
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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.
Bibliographische Angaben
- Autor: Paul Garrett
- 2018, Englisch
- Verlag: Cambridge University Press
- ISBN-10: 1108228240
- ISBN-13: 9781108228244
- Erscheinungsdatum: 20.09.2018
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- Dateiformat: ePub
- Grösse: 85 MB
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Englisch
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