Buch, Englisch, Band 174, 364 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 744 g
Buch, Englisch, Band 174, 364 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 744 g
Reihe: Cambridge Studies in Advanced Mathematics
ISBN: 978-1-108-47384-2
Verlag: Cambridge University Press
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.
Autoren/Hrsg.
Weitere Infos & Material
1. Unbounded operators on Hilbert spaces; 2. Discrete decomposition of pseudo-cuspforms; 3. Meromorphic continuation of Eisenstein series; 4. Global automorphic Sobolev spaces, Green's functions; 5. Examples – topologies on natural function spaces; 6. Vector-valued integrals; 7. Differentiable vector-valued functions; 8. Asymptotic expansions.
