Zeta Integrals, Schwartz Spaces and Local Functional Equations

Released on by Wen-Wei Li
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  • Zeta Integrals, Schwartz Spaces and Local Functional Equations Book Detail

  • Author : Wen-Wei Li
  • Release Date : 2018-11-02
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 148
  • ISBN 13 : 3030012883
  • File Size : 67,67 MB
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Zeta Integrals, Schwartz Spaces and Local Functional Equations by Wen-Wei Li PDF Summary

Book Description: This book focuses on a conjectural class of zeta integrals which arose from a program born in the work of Braverman and Kazhdan around the year 2000, the eventual goal being to prove the analytic continuation and functional equation of automorphic L-functions. Developing a general framework that could accommodate Schwartz spaces and the corresponding zeta integrals, the author establishes a formalism, states desiderata and conjectures, draws implications from these assumptions, and shows how known examples fit into this framework, supporting Sakellaridis' vision of the subject. The collected results, both old and new, and the included extensive bibliography, will be valuable to anyone who wishes to understand this program, and to those who are already working on it and want to overcome certain frequently occurring technical difficulties.

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Geometric Aspects of the Trace Formula

Geometric Aspects of the Trace Formula

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The second of three volumes devoted to the study of the trace formula, these proceedings focus on automorphic representations of higher rank groups. Based on re