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Slice hyperholomorphic Schur analysis

Alpay, Daniel.

Slice hyperholomorphic Schur analysis

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Slice hyperholomorphic Schur analysisby 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.
電子資源:	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 The book includes previously unpublished results and provides the basis for new directions of research.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.
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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.
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