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Modern analysis of automorphic forms by example

Author: Paul B Garrett
Publisher: Cambridge : Cambridge University Press, 2018. ©2018
Series: Cambridge studies in advanced mathematics, 173-174.
Edition/Format:   Print book : EnglishView all editions and formats
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  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Paul B Garrett
ISBN: 9781108697934 1108697933 9781107154001 1107154006 9781108473842 1108473849
OCLC Number: 1011020675
Description: 2 volumes ; 24 cm.
Contents: 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.
Series Title: Cambridge studies in advanced mathematics, 173-174.
Responsibility: Paul Garrett (University of Minnesota, Minneapolis, USA).

Abstract:

This is Volume 1 of a two-volume book that provides a self-contained introduction to the analytical aspects of automorphic forms by proving several critical results carefully and in detail. With  Read more...

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Review of Multi-volume Set: 'Any researcher working in the analytic theory of automorphic forms on higher rank groups will want to own this book. It is a treasure trove of examples and proofs that Read more...

 
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