عنوان

Modern analysis of automorphic forms by example /

(Number (ISBN

1107154006

(Number (ISBN

1108473849

(Number (ISBN

1108697933

(Number (ISBN

9781107154001

(Number (ISBN

9781108473842

(Number (ISBN

9781108697934

Title Proper

Modern analysis of automorphic forms by example /

General Material Designation

[Book]

First Statement of Responsibility

Paul Garrett (University of Minnesota, Minneapolis, USA).

Place of Publication, Distribution, etc.

Cambridge :

Name of Publisher, Distributor, etc.

Cambridge University Press,

Date of Publication, Distribution, etc.

2018.

Date of Publication, Distribution, etc.

©2018

Specific Material Designation and Extent of Item

2 volumes ;

Dimensions

24 cm.

Series Title

Cambridge studies in advanced mathematics ;

Volume Designation

173-174

Text of Note

Includes bibliographical references and index.

Text of Note

Volume 1. 1. Four small examples ; 2. The quotient Z+GL2(k)/GL2(A) ; 3. SL3(Z), SL5(Z) ; 4. Invariant differential operators ; 5. Integration on quotients ; 6. Action of G on function spaces on G ; 7. Discrete decomposition of cuspforms ; 8. Moderate growth functions, theory of the constant term -- Volume 2. 9. Unbounded operators on Hilbert spaces ; 10. Discrete decomposition of pseudo-cuspforms ; 11. Meromorphic continuation of Eisenstein series ; 12. Global automorphic Sobolev spaces, Green's functions ; 13. Examples -- topologies on natural function spaces ; 14. Vector-valued integrals ; 15. Differentiable vector-valued functions ; 16. Asymptotic expansions.

0

Text of Note

"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.

Automorphic forms.

Forms (Mathematics)

Analysis

Automorphe Form

Automorphic forms.

Forms (Mathematics)

Number

Edition

Class number

Book number

Garrett, Paul B.

Date of Transaction

20200822150111.0

Cataloguing Rules (Descriptive Conventions))

rda

Electronic name

[Book]

Y