Modern Analysis of Automorphic Forms By Example

di Paul Garrett (Autore)

Cambridge University Press, 2018

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.

• Autore: Paul Garrett
• Editore: Cambridge University Press
• Collana: Modern Analysis of Automorphic Forms By Example 2 Hardback Book Set
• Anno: 2018
• Rilegatura: Hardback
• Pagine: 364 p.
• Dimensioni: 236 x 158 mm
• Peso: 630 gr.
• EAN: 9781108473842

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