國立高雄大學圖資館 |

Language: English

Back

Polyanalytic type function spaces

Record Type:	Electronic resources : Monograph/item
Title/Author:	Polyanalytic type function spacesby Nikolai Vasilevski.
Author:	Vasilevski, Nikolai.
Published:	Cham :Springer Nature Switzerland :2024.
Description:	xxx, 174 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Analytic spaces.
Online resource:	https://doi.org/10.1007/978-3-031-76181-2
ISBN:	9783031761812$q(electronic bk.)

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.219..

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$q(electronic bk.)

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

666703
Analytic spaces.

LC Class. No.: QA331 / .V37 2024

Dewey Class. No.: 515.942

Polyanalytic type function spaces
LDR:02192nmm a2200337 a 4500 001 673512
003 DE-He213
005 20241231115250.0
006 m d
007 cr nn 008maaau
008 250422s2024 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 987044
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 666703
650 1 4 $a Several Complex Variables and Analytic Spaces. $3 276692
650 2 4 $a Operator Theory. $3 274795
650 2 4 $a Functions of a Complex Variable. $3 275780
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Operator theory: advances and applications ; $v v.219. $3 558819
856 4 0 $u https://doi.org/10.1007/978-3-031-76181-2
950 $a Mathematics and Statistics (SpringerNature-11649)