語系:
繁體中文
English
說明(常見問題)
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
Riesz Transforms, Hodge-Dirac Operators and Functional Calculus for Multipliers
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Riesz Transforms, Hodge-Dirac Operators and Functional Calculus for Multipliers/ by Cédric Arhancet, Christoph Kriegler.
作者:
Arhancet, Cédric.
其他作者:
Kriegler, Christoph.
面頁冊數:
XII, 280 p.online resource. :
Contained By:
Springer Nature eBook
標題:
Global Analysis and Analysis on Manifolds. -
電子資源:
https://doi.org/10.1007/978-3-030-99011-4
ISBN:
9783030990114
Riesz Transforms, Hodge-Dirac Operators and Functional Calculus for Multipliers
Arhancet, Cédric.
Riesz Transforms, Hodge-Dirac Operators and Functional Calculus for Multipliers
[electronic resource] /by Cédric Arhancet, Christoph Kriegler. - 1st ed. 2022. - XII, 280 p.online resource. - Lecture Notes in Mathematics,23041617-9692 ;. - Lecture Notes in Mathematics,2144.
This book on recent research in noncommutative harmonic analysis treats the Lp boundedness of Riesz transforms associated with Markovian semigroups of either Fourier multipliers on non-abelian groups or Schur multipliers. The detailed study of these objects is then continued with a proof of the boundedness of the holomorphic functional calculus for Hodge–Dirac operators, thereby answering a question of Junge, Mei and Parcet, and presenting a new functional analytic approach which makes it possible to further explore the connection with noncommutative geometry. These Lp operations are then shown to yield new examples of quantum compact metric spaces and spectral triples. The theory described in this book has at its foundation one of the great discoveries in analysis of the twentieth century: the continuity of the Hilbert and Riesz transforms on Lp. In the works of Lust-Piquard (1998) and Junge, Mei and Parcet (2018), it became apparent that these Lp operations can be formulated on Lp spaces associated with groups. Continuing these lines of research, the book provides a self-contained introduction to the requisite noncommutative background. Covering an active and exciting topic which has numerous connections with recent developments in noncommutative harmonic analysis, the book will be of interest both to experts in no-commutative Lp spaces and analysts interested in the construction of Riesz transforms and Hodge–Dirac operators.
ISBN: 9783030990114
Standard No.: 10.1007/978-3-030-99011-4doiSubjects--Topical Terms:
672519
Global Analysis and Analysis on Manifolds.
LC Class. No.: QA329-329.9
Dewey Class. No.: 515.724
Riesz Transforms, Hodge-Dirac Operators and Functional Calculus for Multipliers
LDR
:02865nam a22003975i 4500
001
1094724
003
DE-He213
005
20220505020305.0
007
cr nn 008mamaa
008
221228s2022 sz | s |||| 0|eng d
020
$a
9783030990114
$9
978-3-030-99011-4
024
7
$a
10.1007/978-3-030-99011-4
$2
doi
035
$a
978-3-030-99011-4
050
4
$a
QA329-329.9
072
7
$a
PBKF
$2
bicssc
072
7
$a
MAT037000
$2
bisacsh
072
7
$a
PBKF
$2
thema
082
0 4
$a
515.724
$2
23
100
1
$a
Arhancet, Cédric.
$e
author.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1402900
245
1 0
$a
Riesz Transforms, Hodge-Dirac Operators and Functional Calculus for Multipliers
$h
[electronic resource] /
$c
by Cédric Arhancet, Christoph Kriegler.
250
$a
1st ed. 2022.
264
1
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Springer,
$c
2022.
300
$a
XII, 280 p.
$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
1617-9692 ;
$v
2304
520
$a
This book on recent research in noncommutative harmonic analysis treats the Lp boundedness of Riesz transforms associated with Markovian semigroups of either Fourier multipliers on non-abelian groups or Schur multipliers. The detailed study of these objects is then continued with a proof of the boundedness of the holomorphic functional calculus for Hodge–Dirac operators, thereby answering a question of Junge, Mei and Parcet, and presenting a new functional analytic approach which makes it possible to further explore the connection with noncommutative geometry. These Lp operations are then shown to yield new examples of quantum compact metric spaces and spectral triples. The theory described in this book has at its foundation one of the great discoveries in analysis of the twentieth century: the continuity of the Hilbert and Riesz transforms on Lp. In the works of Lust-Piquard (1998) and Junge, Mei and Parcet (2018), it became apparent that these Lp operations can be formulated on Lp spaces associated with groups. Continuing these lines of research, the book provides a self-contained introduction to the requisite noncommutative background. Covering an active and exciting topic which has numerous connections with recent developments in noncommutative harmonic analysis, the book will be of interest both to experts in no-commutative Lp spaces and analysts interested in the construction of Riesz transforms and Hodge–Dirac operators.
650
2 4
$a
Global Analysis and Analysis on Manifolds.
$3
672519
650
2 4
$a
Functional Analysis.
$3
672166
650
1 4
$a
Operator Theory.
$3
672127
650
0
$a
Manifolds (Mathematics).
$3
1051266
650
0
$a
Global analysis (Mathematics).
$3
1255807
650
0
$a
Functional analysis.
$3
527706
650
0
$a
Operator theory.
$3
527910
700
1
$a
Kriegler, Christoph.
$e
author.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1402901
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer Nature eBook
776
0 8
$i
Printed edition:
$z
9783030990107
776
0 8
$i
Printed edition:
$z
9783030990121
830
0
$a
Lecture Notes in Mathematics,
$x
0075-8434 ;
$v
2144
$3
1254300
856
4 0
$u
https://doi.org/10.1007/978-3-030-99011-4
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)
筆 0 讀者評論
多媒體
評論
新增評論
分享你的心得
Export
取書館別
處理中
...
變更密碼[密碼必須為2種組合(英文和數字)及長度為10碼以上]
登入