Modern Analysis of Automorphic Forms By Example (Hardcover)

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.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	Modern Analysis of Automorphic Forms By Example 2 Hardback Book Set, Volume 1
Release date:	September 2018
Authors:	Paul Garrett
Dimensions:	236 x 158 x 26mm (L x W x T)
Format:	Hardcover
Pages:	406
ISBN-13:	978-1-107-15400-1
Categories:	Books > Science & Mathematics > Mathematics > Number theory > General Promotions
LSN:	1-107-15400-6
Barcode:	9781107154001

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