東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回上頁

切換: 標籤 | MARC模式 | ISBD

FindBook

Google Book

Amazon

博客來

Polyanalytic type function spaces

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Polyanalytic type function spaces/ by Nikolai Vasilevski.
作者:	Vasilevski, Nikolai.
出版者:	Cham :Springer Nature Switzerland : : 2024.,
面頁冊數:	xxx, 174 p. :ill., digital ;24 cm.
內容註:	Foreword -- Preface -- Introduction -- I Spaces of polyanalytic type in one complex variable -- 1 Extended Fock-space construction approach -- 2 Complex plane C case -- 3 Unit disk D case -- 4 Upper half-plane Π case -- 5 Basis oriented approach -- 6 Approach based on pure isometries -- II Spaces of polyanalytic type in several complex variables -- 7 Multi-operator extended Fock-space construction -- 8 The Cn case -- 9 The unit ball Bn case -- 10 Hilbert spaces with generalized Gaussian measure on C2 -- 11 The Siegel domain case -- Bibliography -- Index.
Contained By:	Springer Nature eBook
標題:	Analytic spaces. -
電子資源:	https://doi.org/10.1007/978-3-031-76181-2
ISBN:	9783031761812

Polyanalytic type function spaces
Vasilevski, Nikolai.

Polyanalytic type function spaces[electronic resource] /by Nikolai Vasilevski. - Cham :Springer Nature Switzerland :2024. - xxx, 174 p. :ill., digital ;24 cm. - Operator theory: advances and applications,v. 3052296-4878 ;. - Operator theory: advances and applications ;v. 305..

Foreword -- Preface -- Introduction -- I Spaces of polyanalytic type in one complex variable -- 1 Extended Fock-space construction approach -- 2 Complex plane C case -- 3 Unit disk D case -- 4 Upper half-plane Π case -- 5 Basis oriented approach -- 6 Approach based on pure isometries -- II Spaces of polyanalytic type in several complex variables -- 7 Multi-operator extended Fock-space construction -- 8 The Cn case -- 9 The unit ball Bn case -- 10 Hilbert spaces with generalized Gaussian measure on C2 -- 11 The Siegel domain case -- Bibliography -- Index.

This book is about function spaces aspects of polyanalytic functions, a topic that has gained a lot of attention in the past decades. This book fills a gap in literature and is written by a leading researcher in the field. Rather than studying polyanalytic functions from a complex analysis point of view, it considers the (Lie)-algebraic part of the theory. Several generalizations are offered. The presented theory has many applications, including to quantum physics. An extensive introduction to the topic is provided, making the book accessible to specialists and newcomers alike.

ISBN: 9783031761812

Standard No.: 10.1007/978-3-031-76181-2doiSubjects--Topical Terms:

579160
Analytic spaces.

LC Class. No.: QA331 / .V37 2024

Dewey Class. No.: 515.942

Polyanalytic type function spaces
LDR:02191nmm a2200337 a 4500 001 2389186
003 DE-He213
005 20241231115250.0
006 m d
007 cr nn 008maaau
008 250916s2024 sz s 0 eng d
020 $a 9783031761812 $q (electronic bk.)
020 $a 9783031761805 $q (paper)
024 7 $a 10.1007/978-3-031-76181-2 $2 doi
035 $a 978-3-031-76181-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QA331 $b .V37 2024
072 7 $a PBKD $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKD $2 thema
082 0 4 $a 515.942 $2 23
090 $a QA331 $b .V334 2024
100 1 $a Vasilevski, Nikolai. $3 1047299
245 1 0 $a Polyanalytic type function spaces $h [electronic resource] / $c by Nikolai Vasilevski.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Birkhäuser, $c 2024.
300 $a xxx, 174 p. : $b ill., digital ; $c 24 cm.
490 1 $a Operator theory: advances and applications, $x 2296-4878 ; $v v. 305
505 0 $a Foreword -- Preface -- Introduction -- I Spaces of polyanalytic type in one complex variable -- 1 Extended Fock-space construction approach -- 2 Complex plane C case -- 3 Unit disk D case -- 4 Upper half-plane Π case -- 5 Basis oriented approach -- 6 Approach based on pure isometries -- II Spaces of polyanalytic type in several complex variables -- 7 Multi-operator extended Fock-space construction -- 8 The Cn case -- 9 The unit ball Bn case -- 10 Hilbert spaces with generalized Gaussian measure on C2 -- 11 The Siegel domain case -- Bibliography -- Index.
520 $a This book is about function spaces aspects of polyanalytic functions, a topic that has gained a lot of attention in the past decades. This book fills a gap in literature and is written by a leading researcher in the field. Rather than studying polyanalytic functions from a complex analysis point of view, it considers the (Lie)-algebraic part of the theory. Several generalizations are offered. The presented theory has many applications, including to quantum physics. An extensive introduction to the topic is provided, making the book accessible to specialists and newcomers alike.
650 0 $a Analytic spaces. $3 579160
650 1 4 $a Several Complex Variables and Analytic Spaces. $3 893953
650 2 4 $a Operator Theory. $3 897311
650 2 4 $a Functions of a Complex Variable. $3 897310
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Operator theory: advances and applications ; $v v. 305. $3 3754762
856 4 0 $u https://doi.org/10.1007/978-3-031-76181-2
950 $a Mathematics and Statistics (SpringerNature-11649)