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Slice hyperholomorphic Schur analysis

Alpay, Daniel.

Slice hyperholomorphic Schur analysis

Record Type:	Electronic resources : Monograph/item
Title/Author:	Slice hyperholomorphic Schur analysisby Daniel Alpay, Fabrizio Colombo, Irene Sabadini.
Author:	Alpay, Daniel.
other author:	Colombo, Fabrizio.
Published:	Cham :Springer International Publishing :2016.
Description:	xii, 362 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Schur functions.
Online resource:	http://dx.doi.org/10.1007/978-3-319-42514-6
ISBN:	9783319425146$q(electronic bk.)

Slice hyperholomorphic Schur analysis
Alpay, Daniel.

Slice hyperholomorphic Schur analysis[electronic resource] /by Daniel Alpay, Fabrizio Colombo, Irene Sabadini. - Cham :Springer International Publishing :2016. - xii, 362 p. :ill., digital ;24 cm. - Operator theory: advances and applications,v.2560255-0156 ;. - Operator theory: advances and applications ;v.219..

Part I: Classical Schur analysis -- Preliminaries -- Rational functions -- Schur analysis -- Part II: Quaternionic analysis -- Finite dimensional preliminaries -- Quaternionic functional analysis -- Slice hyperholomorphic functions -- Slice hyperholomorphic operator-valued functions -- Part III: Quaternionic Schur analysis -- Reproducing kernel spaces and realizations -- Rational slice hyperholomorphic functions -- First applications: scalar interpolation and first order discrete systems -- Interpolation: operator-valued case.

This book defines and examines the counterpart of Schur functions and Schur analysis in the slice hyperholomorphic setting. It is organized into three parts: the first introduces readers to classical Schur analysis, while the second offers background material on quaternions, slice hyperholomorphic functions, and quaternionic functional analysis. The third part represents the core of the book and explores quaternionic Schur analysis and its various applications. The book includes previously unpublished results and provides the basis for new directions of research.

ISBN: 9783319425146$q(electronic bk.)

Standard No.: 10.1007/978-3-319-42514-6doiSubjects--Topical Terms:

569150
Schur functions.

LC Class. No.: QA331.7

Dewey Class. No.: 515.98

Slice hyperholomorphic Schur analysis
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245 1 0 $a Slice hyperholomorphic Schur analysis $h [electronic resource] / $c by Daniel Alpay, Fabrizio Colombo, Irene Sabadini.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2016.
300 $a xii, 362 p. : $b ill., digital ; $c 24 cm.
490 1 $a Operator theory: advances and applications, $x 0255-0156 ; $v v.256
505 0 $a Part I: Classical Schur analysis -- Preliminaries -- Rational functions -- Schur analysis -- Part II: Quaternionic analysis -- Finite dimensional preliminaries -- Quaternionic functional analysis -- Slice hyperholomorphic functions -- Slice hyperholomorphic operator-valued functions -- Part III: Quaternionic Schur analysis -- Reproducing kernel spaces and realizations -- Rational slice hyperholomorphic functions -- First applications: scalar interpolation and first order discrete systems -- Interpolation: operator-valued case.
520 $a This book defines and examines the counterpart of Schur functions and Schur analysis in the slice hyperholomorphic setting. It is organized into three parts: the first introduces readers to classical Schur analysis, while the second offers background material on quaternions, slice hyperholomorphic functions, and quaternionic functional analysis. The third part represents the core of the book and explores quaternionic Schur analysis and its various applications. The book includes previously unpublished results and provides the basis for new directions of research.
650 0 $a Schur functions. $3 569150
650 0 $a Mathematical analysis. $3 186133
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Functions of a Complex Variable. $3 275780
650 2 4 $a Functional Analysis. $3 274845
650 2 4 $a Operator Theory. $3 274795
700 1 $a Colombo, Fabrizio. $3 511768
700 1 $a Sabadini, Irene. $3 308610
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Operator theory: advances and applications ; $v v.219. $3 558819
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-42514-6
950 $a Mathematics and Statistics (Springer-11649)