Modern Analysis of Automorphic Forms By Example 2 Hardback Book Set Modern Analysis of Automorphic Forms By Example: Series Number 174 : Volume 2 Hardback
Part of the Cambridge Studies in Advanced Mathematics series
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.
- Format: Hardback
- Pages: 406 pages
- Publisher: Cambridge University Press
- Publication Date: 20/09/2018
- Category: Number theory
- ISBN: 9781107154001