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Modern analysis of automorphic forms...

Garrett, Paul B.

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Modern analysis of automorphic forms by example.. Volume 2

Record Type:	Electronic resources : Monograph/item
Title/Author:	Modern analysis of automorphic forms by example./ Paul Garrett.
Author:	Garrett, Paul B.
Published:	Cambridge :Cambridge University Press, : 2018.,
Description:	xxii, 343 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 14 Sep 2018).
Subject:	Automorphic forms. -
Online resource:	https://doi.org/10.1017/9781108571814
ISBN:	9781108571814

Modern analysis of automorphic forms by example.. Volume 2
Garrett, Paul B.

Modern analysis of automorphic forms by example.Volume 2[electronic resource] /Paul Garrett. - Cambridge :Cambridge University Press,2018. - xxii, 343 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;174. - Cambridge studies in advanced mathematics ;174..

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

ISBN: 9781108571814Subjects--Topical Terms:

576006
Automorphic forms.

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

Dewey Class. No.: 515.9

Modern analysis of automorphic forms by example.. Volume 2
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245 1 0 $a Modern analysis of automorphic forms by example. $n Volume 2 $h [electronic resource] / $c Paul Garrett.
260 $a Cambridge : $b Cambridge University Press, $c 2018.
300 $a xxii, 343 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 174
500 $a Title from publisher's bibliographic system (viewed on 14 Sep 2018).
520 $a 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.
650 0 $a Automorphic forms. $3 576006
650 0 $a Forms (Mathematics) $3 931928
830 0 $a Cambridge studies in advanced mathematics ; $v 174. $3 3470460
856 4 0 $u https://doi.org/10.1017/9781108571814