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Modern Analysis of Automorphic Forms By Example

Modern Analysis of Automorphic Forms By Example

Hardcover

CalculusGeneral Mathematics

ISBN10: 1107154006
ISBN13: 9781107154001
Publisher: Cambridge University Press
Published: Sep 20 2018
Pages: 406
Weight: 1.50
Height: 1.07 Width: 6.42 Depth: 9.26
Language: English
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.

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