Slice hyperholomorphic Schur analysis
Author(s)
Bibliographic Information
Slice hyperholomorphic Schur analysis
（Operator theory : advances and applications, v. 256）
Birkhäuser, c2016
Available at / 12 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
ALP||2||10200035962206
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Note
Includes bibliographical references (p. 335-353) and indexes
Description and Table of Contents
Description
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 The book includes previously unpublished results and provides the basis for new directions of research.
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.
by "Nielsen BookData"
