Zeta Integrals, Schwartz Spaces and Local Functional Equations

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 cou...

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Bibliographic Details
Main Author: Li, Wen-Wei
Format: eBook
Language:English
Published: Cham Springer International Publishing 2018, 2018
Edition:1st ed. 2018
Series:Lecture Notes in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Introduction
  • Geometric Background
  • Analytic Background
  • Schwartz Spaces and Zeta Integrals
  • Convergence of Some Zeta Integrals
  • Prehomogeneous Vector Spaces
  • The Doubling Method
  • Speculation on the Global Integrals