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Modern analysis of automorphic forms...

Garrett, Paul B.

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Modern analysis of automorphic forms by example.. Volume 1

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Modern analysis of automorphic forms by example./ Paul Garrett.
作者:	Garrett, Paul B.
出版者:	Cambridge :Cambridge University Press, : 2018.,
面頁冊數:	xxii, 384 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 14 Sep 2018).
標題:	Automorphic forms. -
電子資源:	https://doi.org/10.1017/9781316650332
ISBN:	9781316650332

Modern analysis of automorphic forms by example.. Volume 1
Garrett, Paul B.

Modern analysis of automorphic forms by example.Volume 1[electronic resource] /Paul Garrett. - Cambridge :Cambridge University Press,2018. - xxii, 384 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;173. - Cambridge studies in advanced mathematics ;173..

Title from publisher's bibliographic system (viewed on 14 Sep 2018).

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.

ISBN: 9781316650332Subjects--Topical Terms:

576006
Automorphic forms.

LC Class. No.: QA353.A9 / G37 2018

Dewey Class. No.: 515.9

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