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Slice Hyperholomorphic Schur Analysis

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Slice Hyperholomorphic Schur Analysis/ by Daniel Alpay, Fabrizio Colombo, Irene Sabadini.
作者:	Alpay, Daniel.
其他作者:	Colombo, Fabrizio.
面頁冊數:	XII, 362 p.online resource. :
Contained By:	Springer Nature eBook
標題:	Functions of complex variables. -
電子資源:	https://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. - 1st ed. 2016. - XII, 362 p.online resource. - Operator Theory: Advances and Applications,2560255-0156 ;. - Operator Theory: Advances and Applications,246.

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 The book includes previously unpublished results and provides the basis for new directions of research.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

528649
Functions of complex variables.

LC Class. No.: QA331-355

Dewey Class. No.: 515.9

Slice Hyperholomorphic Schur Analysis
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