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Zeta Integrals, Schwartz Spaces and Local Functional Equations by Wen-Wei Li
Zeta Integrals, Schwartz Spaces and Local Functional Equations by Wen-Wei Li
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Zeta Integrals, Schwartz Spaces and Local Functional Equations

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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.

Author Biography:

Wen-Wei Li received his Ph.D in Mathematics from Université Paris-Diderot in 2011. He is currently a Professor of the Beijing International Center of Mathematical Research, Peking University. His research is mainly focused on the theory of representation and automorphic forms.
Release date Australia
November 3rd, 2018
Author
Pages
141
Edition
1st ed. 2018
Audience
  • Professional & Vocational
Illustrations
2 Illustrations, color; 28 Illustrations, black and white; VIII, 141 p. 30 illus., 2 illus. in color.
ISBN-13
9783030012878
Product ID
28356198

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