Slice Hyperholomorphic Schur Analysis
Author:   Daniel Alpay ,  Fabrizio Colombo ,  Irene Sabadini
Publisher:   Birkhauser Verlag AG
Edition:   1st ed. 2016
Volume:   256
ISBN:  

9783319425139


Pages:   362
Publication Date:   16 December 2016
Format:   Hardback
Availability:   In Print   Availability explained
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Slice Hyperholomorphic Schur Analysis


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Overview

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 The book includes previously unpublished results and provides the basis for new directions of research.

Full Product Details

Author:   Daniel Alpay ,  Fabrizio Colombo ,  Irene Sabadini
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   1st ed. 2016
Volume:   256
Dimensions:   Width: 15.50cm , Height: 2.20cm , Length: 23.50cm
Weight:   0.887kg
ISBN:  

9783319425139


ISBN 10:   3319425137
Pages:   362
Publication Date:   16 December 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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.

Reviews

“Purpose of the book is to define and study the counterpart of Schur functions and Schur analysis in the context of slice hyperholomorphic quaternionic functions. … the book is an important contribution into each of the two theoriesthose of Schur analysis and of slice hyperholomorphic functions.” (Michael Shapiro, Mathematical Reviews, September, 2017)


Purpose of the book is to define and study the counterpart of Schur functions and Schur analysis in the context of slice hyperholomorphic quaternionic functions. ... the book is an important contribution into each of the two theoriesthose of Schur analysis and of slice hyperholomorphic functions. (Michael Shapiro, Mathematical Reviews, September, 2017)


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