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Daniel Alpay & Fabrizio Colombo 
Slice Hyperholomorphic Schur Analysis 

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 The book includes previously unpublished results and provides the basis for new directions of research.

€96.29
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Table des matières

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.
Langue Anglais ● Format PDF ● Pages 362 ● ISBN 9783319425146 ● Taille du fichier 3.5 MB ● Maison d’édition Springer International Publishing ● Lieu Cham ● Pays CH ● Publié 2016 ● Téléchargeable 24 mois ● Devise EUR ● ID 5024127 ● Protection contre la copie DRM sociale

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