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Modern analysis of automorphic forms by example. Volume 2

Author: Paul B Garrett
Publisher: Cambridge : Cambridge University Press, 2018.
Series: Cambridge studies in advanced mathematics, 174.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Paul B Garrett
ISBN: 9781108571814 1108571816
OCLC Number: 1054473609
Notes: Title from publisher's bibliographic system (viewed on 14 Sep 2018).
Description: 1 online resource (xxii, 343 pages) : PDF file(s).
Contents: 1. Unbounded operators on Hilbert spaces; 2. Discrete decomposition of pseudo-cuspforms; 3. Meromorphic continuation of Eisenstein series; 4. Global automorphic Sobolev spaces, Green's functions; 5. Examples - topologies on natural function spaces; 6. Vector-valued integrals; 7. Differentiable vector-valued functions; 8. Asymptotic expansions.
Series Title: Cambridge studies in advanced mathematics, 174.
Responsibility: Paul Garrett.

Abstract:

This is Volume 2 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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