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Slice hyperholomorphic Schur analysi...

Alpay, Daniel.

Slice hyperholomorphic Schur analysis[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515.98
書名/作者:	Slice hyperholomorphic Schur analysis/ by Daniel Alpay, Fabrizio Colombo, Irene Sabadini.
作者:	Alpay, Daniel.
其他作者:	Colombo, Fabrizio.
出版者:	Cham : : Springer International Publishing :, 2016.
面頁冊數:	xii, 362 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Schur functions.
標題:	Mathematical analysis.
標題:	Mathematics.
標題:	Functions of a Complex Variable.
標題:	Functional Analysis.
標題:	Operator Theory.
ISBN:	9783319425146
ISBN:	9783319425139
內容註:	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.
摘要、提要註:	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 The book includes previously unpublished results and provides the basis for new directions of research.
電子資源:	http://dx.doi.org/10.1007/978-3-319-42514-6

Slice hyperholomorphic Schur analysis[electronic resource] /
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

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

591070
Schur functions.

LC Class. No.: QA331.7

Dewey Class. No.: 515.98

Slice hyperholomorphic Schur analysis[electronic resource] /
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100 1 $a Alpay, Daniel. $3 616303
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 591070
650 0 $a Mathematical analysis. $3 227335
650 1 4 $a Mathematics. $3 172349
650 2 4 $a Functions of a Complex Variable. $3 467610
650 2 4 $a Functional Analysis. $3 464114
650 2 4 $a Operator Theory. $3 464906
700 1 $a Colombo, Fabrizio. $3 688373
700 1 $a Sabadini, Irene. $3 470195
710 2 $a SpringerLink (Online service) $3 463450
773 0 $t Springer eBooks
830 0 $a Operator theory: advances and applications ; $v v.219. $3 465786
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-42514-6
950 $a Mathematics and Statistics (Springer-11649)

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