Slice Hyperholomorphic Schur Analysis
| Autor: | Daniel Alpay, Fabrizio Colombo, Irene Sabadini |
|---|---|
| EAN: | 9783319425146 |
| eBook Format: | |
| Sprache: | Englisch |
| Produktart: | eBook |
| Veröffentlichungsdatum: | 09.12.2016 |
| Kategorie: | |
| Schlagworte: | Krein and Pontryagin spaces Slice hyperholomorphic functions analytic functions indefinite inner product spaces interpolation problems linear operators linear systems quaternions reproducing kernels reproducing kernel spaces |
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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 The book includes previously unpublished results and provides the basis for new directions of research.
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