eBook - PDF

Modern Analysis of Automorphic Forms By Example: Volume 1

Name: Modern Analysis of Automorphic Forms By Example: Volume 1
ISBN: 9781108229630

Paul Garrett,

English
PDF
Available on iOS & Android

eBook - PDF

Modern Analysis of Automorphic Forms By Example: Volume 1

Paul Garrett,

About this book

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.

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Yes, you can access Modern Analysis of Automorphic Forms By Example: Volume 1 by Paul Garrett in PDF and/or ePUB format, as well as other popular books in Mathematics & Number Theory. We have over one million books available in our catalogue for you to explore.