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Zeta integrals, Schwartz spaces and local functional equations

Wen-Wei Li
Resource Type:
E-Book
Publication:
Cham, Switzerland : Springer, 2018
Related Series:
Lecture notes in mathematics (Springer-Verlag); [volume] 2228
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Summary:
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.
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.
Author/Creator:
Li, Wen-Wei, 1982- , author
Languages:
English
Language Notes:
Item content: English
Main Work:
Zeta integrals, Schwartz spaces and local functional equations [by Li, W.W.]
Other Related Resources:
Print version: Zeta integrals, Schwartz spaces and local functional equations [by Li, W.W.] (Cham, Switzerland : Springer, [2018] — ISBN 9783030012878; LCCN 2018956575; OCLC Number 1050363493)
Related Series:
Lecture notes in mathematics (Springer-Verlag); [volume] 2228
Subjects:
Functions, Zeta
Schwartz spaces
Functional equations
General Notes:
Includes bibliographical references and index.
Description based on: Online resource; title from PDF title page (SpringerLink, viewed November 9, 2018).
Creator Demographics:
Chinese
Men
University and college faculty members
Physical Description:
1 online resource (viii, 141 pages) : illustrations (some color).
Digital Characteristics:
text file
Call Numbers:
QA351 .L594 2018eb
ISBNs:
9783030012885 (electronic bk.)
3030012883 (electronic bk.)
9783030012878 (print) [Invalid]
3030012875 [Invalid]
Other Standard Numbers:
Digital Object Identifier: 10.1007/978-3-030-01288-5
[Unknown Type]: 10.1007/978-3-030-01
OCLC Numbers:
1062360100