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
Quaternionic Hilbert spaces and slice hyperholomorphic functions
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Quaternionic Hilbert spaces and slice hyperholomorphic functions/ by Daniel Alpay, Fabrizio Colombo, Irene Sabadini.
作者:
Alpay, Daniel.
其他作者:
Colombo, Fabrizio.
出版者:
Cham :Springer Nature Switzerland : : 2024.,
面頁冊數:
xi, 348 p. :ill., digital ; : 24 cm.;
Contained By:
Springer Nature eBook
標題:
Hilbert space. -
電子資源:
https://doi.org/10.1007/978-3-031-73430-4
ISBN:
9783031734304
Quaternionic Hilbert spaces and slice hyperholomorphic functions
Alpay, Daniel.
Quaternionic Hilbert spaces and slice hyperholomorphic functions
[electronic resource] /by Daniel Alpay, Fabrizio Colombo, Irene Sabadini. - Cham :Springer Nature Switzerland :2024. - xi, 348 p. :ill., digital ;24 cm. - Operator theory: advances and applications,v. 3042296-4878 ;. - Operator theory: advances and applications ;v.212..
- Part I Quaternionic functional analysis and related topics -- Functions of a Quaternionic Variable -- Quaternionic Banach and Hilbert Spaces -- Quaternionic Linear Operators on a Hilbert Space -- Reproducing Kernel Hilbert Spaces -- Part II Spaces of Slice Hyperholomorphic Functions -- Slice Hyperholomorphic Hardy Spaces -- de Branges Spaces -- Slice Hyperholomorphic Bergman Spaces -- Slice Hyperholomorphic Bloch, Besov and Dirichlet Spaces -- Slice Hyperholomorphic Fock Space -- Wiener Algebras -- Part III Various Extensions -- Slice Polyanalytic Functions -- Several Quaternionic Variables -- Function Spaces and Spectral Theories.
The purpose of the present book is to develop the counterparts of Banach and Hilbert spaces in the setting of slice hyperholomorphic functions. Banach and Hilbert spaces of analytic functions, in one or several complex variables, play an important role in analysis and related fields. Besides their intrinsic interest, such spaces have numerous applications. The book is divided into three parts. In the first part, some foundational material on quaternionic functions and functional analysis are introduced. The second part is the core of the book and contains various types of functions spaces ranging from the Hardy spaces, also in the fractional case, to the Fock space extended to the case of quaternions. The third and final part present some further generalization. Researchers in functional analysis and hypercomplex analysis will find this book a key contribution to their field, but also researchers in mathematical physics, especially in quantum mechanics, will benefit from the insights presented.
ISBN: 9783031734304
Standard No.: 10.1007/978-3-031-73430-4doiSubjects--Topical Terms:
580375
Hilbert space.
LC Class. No.: QA322.4
Dewey Class. No.: 515.733
Quaternionic Hilbert spaces and slice hyperholomorphic functions
LDR
:02747nam a2200337 a 4500
001
1153934
003
DE-He213
005
20241210115251.0
006
m d
007
cr nn 008maaau
008
250619s2024 sz s 0 eng d
020
$a
9783031734304
$q
(electronic bk.)
020
$a
9783031734298
$q
(paper)
024
7
$a
10.1007/978-3-031-73430-4
$2
doi
035
$a
978-3-031-73430-4
040
$a
GP
$c
GP
041
0
$a
eng
050
4
$a
QA322.4
072
7
$a
PBKF
$2
bicssc
072
7
$a
MAT037000
$2
bisacsh
072
7
$a
PBKF
$2
thema
082
0 4
$a
515.733
$2
23
090
$a
QA322.4
$b
.A456 2024
100
1
$a
Alpay, Daniel.
$3
672611
245
1 0
$a
Quaternionic Hilbert spaces and slice hyperholomorphic functions
$h
[electronic resource] /
$c
by Daniel Alpay, Fabrizio Colombo, Irene Sabadini.
260
$a
Cham :
$b
Springer Nature Switzerland :
$b
Imprint: Birkhäuser,
$c
2024.
300
$a
xi, 348 p. :
$b
ill., digital ;
$c
24 cm.
490
1
$a
Operator theory: advances and applications,
$x
2296-4878 ;
$v
v. 304
505
0
$a
- Part I Quaternionic functional analysis and related topics -- Functions of a Quaternionic Variable -- Quaternionic Banach and Hilbert Spaces -- Quaternionic Linear Operators on a Hilbert Space -- Reproducing Kernel Hilbert Spaces -- Part II Spaces of Slice Hyperholomorphic Functions -- Slice Hyperholomorphic Hardy Spaces -- de Branges Spaces -- Slice Hyperholomorphic Bergman Spaces -- Slice Hyperholomorphic Bloch, Besov and Dirichlet Spaces -- Slice Hyperholomorphic Fock Space -- Wiener Algebras -- Part III Various Extensions -- Slice Polyanalytic Functions -- Several Quaternionic Variables -- Function Spaces and Spectral Theories.
520
$a
The purpose of the present book is to develop the counterparts of Banach and Hilbert spaces in the setting of slice hyperholomorphic functions. Banach and Hilbert spaces of analytic functions, in one or several complex variables, play an important role in analysis and related fields. Besides their intrinsic interest, such spaces have numerous applications. The book is divided into three parts. In the first part, some foundational material on quaternionic functions and functional analysis are introduced. The second part is the core of the book and contains various types of functions spaces ranging from the Hardy spaces, also in the fractional case, to the Fock space extended to the case of quaternions. The third and final part present some further generalization. Researchers in functional analysis and hypercomplex analysis will find this book a key contribution to their field, but also researchers in mathematical physics, especially in quantum mechanics, will benefit from the insights presented.
650
0
$a
Hilbert space.
$3
580375
650
0
$a
Holomorphic functions.
$3
672030
650
1 4
$a
Operator Theory.
$3
672127
700
1
$a
Colombo, Fabrizio.
$3
785465
700
1
$a
Sabadini, Irene.
$3
676848
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer Nature eBook
830
0
$a
Operator theory: advances and applications ;
$v
v.212.
$3
881293
856
4 0
$u
https://doi.org/10.1007/978-3-031-73430-4
950
$a
Mathematics and Statistics (SpringerNature-11649)
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