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Polyanalytic type function spaces

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Polyanalytic type function spaces/ by 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

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.212..

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:

672657
Analytic spaces.

LC Class. No.: QA331 / .V37 2024

Dewey Class. No.: 515.942

Polyanalytic type function spaces
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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.
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650 1 4 $a Several Complex Variables and Analytic Spaces. $3 672032
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