Modern Analysis of Automorphic Forms By Example - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modern Analysis of Automorphic Forms By Example write by Paul Garrett. This book was released on 2018-09-20. Modern Analysis of Automorphic Forms By Example available in PDF, EPUB and Kindle. Volume 1 of a two-volume introduction to the analytical aspects of automorphic forms, featuring proofs of critical results with examples.
Modern Analysis of Automorphic Forms By Example: Volume 1
Modern Analysis of Automorphic Forms By Example: Volume 1 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modern Analysis of Automorphic Forms By Example: Volume 1 write by Paul Garrett. This book was released on 2018-09-20. Modern Analysis of Automorphic Forms By Example: Volume 1 available in PDF, EPUB and Kindle. 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.
Modern Analysis of Automorphic Forms By Example: Volume 2
Modern Analysis of Automorphic Forms By Example: Volume 2 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modern Analysis of Automorphic Forms By Example: Volume 2 write by Paul Garrett. This book was released on 2018-09-20. Modern Analysis of Automorphic Forms By Example: Volume 2 available in PDF, EPUB and Kindle. 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.
Automorphic Forms
Automorphic Forms - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Automorphic Forms write by Anton Deitmar. This book was released on 2012-08-29. Automorphic Forms available in PDF, EPUB and Kindle. Automorphic forms are an important complex analytic tool in number theory and modern arithmetic geometry. They played for example a vital role in Andrew Wiles's proof of Fermat's Last Theorem. This text provides a concise introduction to the world of automorphic forms using two approaches: the classic elementary theory and the modern point of view of adeles and representation theory. The reader will learn the important aims and results of the theory by focussing on its essential aspects and restricting it to the 'base field' of rational numbers. Students interested for example in arithmetic geometry or number theory will find that this book provides an optimal and easily accessible introduction into this topic.
Eisenstein Series and Automorphic Representations
Eisenstein Series and Automorphic Representations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Eisenstein Series and Automorphic Representations write by Philipp Fleig. This book was released on 2018-07-05. Eisenstein Series and Automorphic Representations available in PDF, EPUB and Kindle. This introduction to automorphic forms on adelic groups G(A) emphasises the role of representation theory. The exposition is driven by examples, and collects and extends many results scattered throughout the literature, in particular the Langlands constant term formula for Eisenstein series on G(A) as well as the Casselman–Shalika formula for the p-adic spherical Whittaker function. This book also covers more advanced topics such as spherical Hecke algebras and automorphic L-functions. Many of these mathematical results have natural interpretations in string theory, and so some basic concepts of string theory are introduced with an emphasis on connections with automorphic forms. Throughout the book special attention is paid to small automorphic representations, which are of particular importance in string theory but are also of independent mathematical interest. Numerous open questions and conjectures, partially motivated by physics, are included to prompt the reader's own research.
