Modern Analysis of Automorphic Forms By Example 2 Hardback Book Set Modern Analysis of Automorphic Forms By Example: Series Number 174 : Volume 2, Hardback Book

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

Description

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.

Information

  • Format: Hardback
  • Pages: 406 pages
  • Publisher: Cambridge University Press
  • Publication Date:
  • Category: Number theory
  • ISBN: 9781107154001

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