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 The book includes previously unpublished results and provides the basis for new directions of research.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
विषयसूची
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.
भाषा अंग्रेज़ी ● स्वरूप PDF ● पेज 362 ● ISBN 9783319425146 ● फाइल का आकार 3.5 MB ● प्रकाशक Springer International Publishing ● शहर Cham ● देश CH ● प्रकाशित 2016 ● डाउनलोड करने योग्य 24 महीने ● मुद्रा EUR ● आईडी 5024127 ● कॉपी सुरक्षा सामाजिक DRM
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