Details

Autor(en) / Beteiligte

• Garrett, Paul B

Titel

Modern analysis of automorphic forms by example : Volume 2

Ist Teil von

• Cambridge studies in advanced mathematics : 174 (Alle Bände)

Ort / Verlag

Cambridge : Cambridge University Press

Erscheinungsjahr

2018

Link zum Volltext

• Cambridge University Press online books

  lizenzpflichtig

Beschreibungen/Notizen

• This is Volume 2 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 2 features critical results, which are proven carefully and in detail, including automorphic Green's functions, metrics and topologies on natural function spaces, unbounded operators, vector-valued integrals, vector-valued holomorphic functions, and asymptotics. Volume 1 features discrete decomposition of cuspforms, meromorphic continuation of Eisenstein series, spectral decomposition of pseudo-Eisenstein series, and automorphic Plancherel theorem. 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.