Modern analysis of automorphic forms by example /

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Bibliographic Details
Author / Creator:Garrett, Paul B., author.
Imprint:Cambridge : Cambridge University Press, 2018.
©2018
Description:2 volumes ; 24 cm.
Language:English
Series:Cambridge studies in advanced mathematics ; 173-174
Cambridge studies in advanced mathematics ; 173-174.
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11763992
Hidden Bibliographic Details
ISBN:9781108697934
1108697933
9781107154001
1107154006
9781108473842
1108473849
Notes:Includes bibliographical references and index.
Summary:"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"--Publisher's description.