Automorphic Forms on Adele Groups. (AM-83), Volume 83

Released on by Stephen S. Gelbart
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  • Automorphic Forms on Adele Groups. (AM-83), Volume 83 Book Detail

  • Author : Stephen S. Gelbart
  • Release Date : 2016-03-02
  • Publisher : Princeton University Press
  • Genre : Mathematics
  • Pages : 227
  • ISBN 13 : 1400881617
  • File Size : 30,30 MB
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Automorphic Forms on Adele Groups. (AM-83), Volume 83 by Stephen S. Gelbart PDF Summary

Book Description: This 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?

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Automorphic Forms and $L$-functions II

Automorphic Forms and $L$-functions II

File Size : 15,15 MB
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Includes articles that represent global aspects of automorphic forms. This book covers topics such as: the trace formula; functoriality; representations of redu