عنوان

Zeta integrals, Schwartz spaces and local functional equations /

(Number (ISBN

3030012883

(Number (ISBN

9783030012885

Erroneous ISBN

3030012875

Erroneous ISBN

9783030012878

Title Proper

Zeta integrals, Schwartz spaces and local functional equations /

General Material Designation

[Book]

First Statement of Responsibility

Wen-Wei Li.

Place of Publication, Distribution, etc.

Cham, Switzerland :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

2018.

Specific Material Designation and Extent of Item

1 online resource (viii, 141 pages) :

Other Physical Details

illustrations (some color)

Series Title

Lecture notes in mathematics,

Volume Designation

2228

ISSN of Series

1617-9692 ;

Text of Note

Includes bibliographical references and index.

Text of Note

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.

0

Text of Note

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.

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9783030012885

Title

Zeta integrals, Schwartz spaces and local functional equations.

International Standard Book Number

9783030012878

Functional equations.

Functions, Zeta.

Schwartz spaces.

Complex analysis, complex variables.

Functional equations.

Functions, Zeta.

Groups & group theory.

Mathematics-- Group Theory.

Mathematics-- Mathematical Analysis.

Mathematics-- Number Theory.

Number theory.

Schwartz spaces.

MAT014000

PBG

PBG

Number

Edition

Class number

Li, Wen-Wei,1982-

Date of Transaction

20200823072822.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y