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Slice hyperholomorphic Schur analysis

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Slice hyperholomorphic Schur analysis/ by 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

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.212..

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 The book includes previously unpublished results and provides the basis for new directions of research.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

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

884209
Schur functions.

LC Class. No.: QA331.7

Dewey Class. No.: 515.98

Slice hyperholomorphic Schur analysis
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100 1 $a Alpay, Daniel. $3 672611
245 1 0 $a Slice hyperholomorphic Schur analysis $h [electronic resource] / $c by Daniel Alpay, Fabrizio Colombo, Irene Sabadini.
260 $a Cham : $c 2016. $b Springer International Publishing : $b Imprint: Birkhauser,
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 884209
650 0 $a Mathematical analysis. $3 527926
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Functions of a Complex Variable. $3 672126
650 2 4 $a Functional Analysis. $3 672166
650 2 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 eBooks
830 0 $a Operator theory: advances and applications ; $v v.212. $3 881293
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-42514-6
950 $a Mathematics and Statistics (Springer-11649)