Automorphic Forms on GL (2)
Author: H. Jacquet
Publisher: Springer
Published: 2006-11-15
Total Pages: 156
ISBN-13: 3540376127
DOWNLOAD EBOOKRead and Download eBook Full
Author: H. Jacquet
Publisher: Springer
Published: 2006-11-15
Total Pages: 156
ISBN-13: 3540376127
DOWNLOAD EBOOKAuthor: Hervé Jacquet
Publisher:
Published: 1972
Total Pages: 0
ISBN-13:
DOWNLOAD EBOOKAuthor: D. Bump
Publisher: Springer
Published: 2006-12-08
Total Pages: 196
ISBN-13: 3540390553
DOWNLOAD EBOOKAuthor: Hervé Jacquet
Publisher:
Published: 1970
Total Pages: 570
ISBN-13:
DOWNLOAD EBOOKAuthor: H. Jacquet
Publisher:
Published: 2014-01-15
Total Pages: 564
ISBN-13: 9783662204016
DOWNLOAD EBOOKAuthor: Armand Borel
Publisher: American Mathematical Soc.
Published: 1979-06-30
Total Pages: 394
ISBN-13: 0821814370
DOWNLOAD EBOOKPart 2 contains sections on Automorphic representations and $L$-functions, Arithmetical algebraic geometry and $L$-functions
Author: H. Jacquet
Publisher:
Published: 2014-09-01
Total Pages: 164
ISBN-13: 9783662205877
DOWNLOAD EBOOKAuthor: Stephen S. Gelbart
Publisher: Princeton University Press
Published: 1975-03-21
Total Pages: 284
ISBN-13: 9780691081564
DOWNLOAD EBOOKThis volume investigates the interplay between the classical theory of automorphic forms and the modern theory of representations of adele groups. Interpreting important recent contributions of Jacquet and Langlands, the author presents new and previously inaccessible results, and systematically develops explicit consequences and connections with the classical theory. The underlying theme is the decomposition of the regular representation of the adele group of GL(2). A detailed proof of the celebrated trace formula of Selberg is included, with a discussion of the possible range of applicability of this formula. Throughout the work the author emphasizes new examples and problems that remain open within the general theory. TABLE OF CONTENTS: 1. The Classical Theory 2. Automorphic Forms and the Decomposition of L2(PSL(2,R) 3. Automorphic Forms as Functions on the Adele Group of GL(2) 4. The Representations of GL(2) over Local and Global Fields 5. Cusp Forms and Representations of the Adele Group of GL(2) 6. Hecke Theory for GL(2) 7. The Construction of a Special Class of Automorphic Forms 8. Eisenstein Series and the Continuous Spectrum 9. The Trace Formula for GL(2) 10. Automorphic Forms on a Quaternion Algebr?
Author: Hervé Jacquet
Publisher:
Published: 1970
Total Pages: 548
ISBN-13:
DOWNLOAD EBOOKAuthor: Paul Garrett
Publisher: Cambridge University Press
Published: 2018-09-20
Total Pages: 367
ISBN-13: 1108669212
DOWNLOAD EBOOKThis 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.