TY  - GEN
AU  - Garrett, Paul
TI  - Modern analysis of automorphic forms by example Vol. 1,
SN  - 9781107154001
U1  - 515.9 
PY  - 2018///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Automorphic forms
KW  - Forms Mathematics
KW  - Analysis
N1  - Includes Index
N2  - 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
ER  -