Language:
English
繁體中文
Help
Login
Back
Switch To:
Labeled
|
MARC Mode
|
ISBD
Zeta Integrals, Schwartz Spaces and ...
~
Li, Wen-Wei.
Zeta Integrals, Schwartz Spaces and Local Functional Equations
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Zeta Integrals, Schwartz Spaces and Local Functional Equations/ by Wen-Wei Li.
Author:
Li, Wen-Wei.
Description:
VIII, 141 p. 30 illus., 2 illus. in color.online resource. :
Contained By:
Springer Nature eBook
Subject:
Topological groups. -
Online resource:
https://doi.org/10.1007/978-3-030-01288-5
ISBN:
9783030012885
Zeta Integrals, Schwartz Spaces and Local Functional Equations
Li, Wen-Wei.
Zeta Integrals, Schwartz Spaces and Local Functional Equations
[electronic resource] /by Wen-Wei Li. - 1st ed. 2018. - VIII, 141 p. 30 illus., 2 illus. in color.online resource. - Lecture Notes in Mathematics,22280075-8434 ;. - Lecture Notes in Mathematics,2144.
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.
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.
ISBN: 9783030012885
Standard No.: 10.1007/978-3-030-01288-5doiSubjects--Topical Terms:
885827
Topological groups.
LC Class. No.: QA252.3
Dewey Class. No.: 512.55
Zeta Integrals, Schwartz Spaces and Local Functional Equations
LDR
:02537nam a22004335i 4500
001
987760
003
DE-He213
005
20200707005954.0
007
cr nn 008mamaa
008
201225s2018 gw | s |||| 0|eng d
020
$a
9783030012885
$9
978-3-030-01288-5
024
7
$a
10.1007/978-3-030-01288-5
$2
doi
035
$a
978-3-030-01288-5
050
4
$a
QA252.3
050
4
$a
QA387
072
7
$a
PBG
$2
bicssc
072
7
$a
MAT014000
$2
bisacsh
072
7
$a
PBG
$2
thema
082
0 4
$a
512.55
$2
23
082
0 4
$a
512.482
$2
23
100
1
$a
Li, Wen-Wei.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1210603
245
1 0
$a
Zeta Integrals, Schwartz Spaces and Local Functional Equations
$h
[electronic resource] /
$c
by Wen-Wei Li.
250
$a
1st ed. 2018.
264
1
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Springer,
$c
2018.
300
$a
VIII, 141 p. 30 illus., 2 illus. in color.
$b
online resource.
336
$a
text
$b
txt
$2
rdacontent
337
$a
computer
$b
c
$2
rdamedia
338
$a
online resource
$b
cr
$2
rdacarrier
347
$a
text file
$b
PDF
$2
rda
490
1
$a
Lecture Notes in Mathematics,
$x
0075-8434 ;
$v
2228
505
0
$a
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.
520
$a
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.
650
0
$a
Topological groups.
$3
885827
650
0
$a
Lie groups.
$3
527929
650
0
$a
Harmonic analysis.
$3
672073
650
0
$a
Number theory.
$3
527883
650
1 4
$a
Topological Groups, Lie Groups.
$3
672074
650
2 4
$a
Abstract Harmonic Analysis.
$3
672075
650
2 4
$a
Number Theory.
$3
672023
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer Nature eBook
776
0 8
$i
Printed edition:
$z
9783030012878
776
0 8
$i
Printed edition:
$z
9783030012892
830
0
$a
Lecture Notes in Mathematics,
$x
0075-8434 ;
$v
2144
$3
1254300
856
4 0
$u
https://doi.org/10.1007/978-3-030-01288-5
912
$a
ZDB-2-SMA
912
$a
ZDB-2-SXMS
912
$a
ZDB-2-LNM
950
$a
Mathematics and Statistics (SpringerNature-11649)
950
$a
Mathematics and Statistics (R0) (SpringerNature-43713)
based on 0 review(s)
Multimedia
Reviews
Add a review
and share your thoughts with other readers
Export
pickup library
Processing
...
Change password
Login