Modern Analysis of Automorphic Forms by Example (Hardcover) (ISBN-13: 9781107154001)

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.

Author: Paul Garrett
ISBN-10: 1107154006
ISBN-13: 9781107154001
Publisher: Cambridge University Press
Language: English
Published: 09/20/2018
Pages: 406
Format: Hardcover
Weight: 1.50lbs
Size: 9.26h x 6.42w x 1.07d