Slice Hyperholomorphic Schur Analysis
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 f...
| Main Authors: | , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Birkhäuser
2016, 2016
|
| Edition: | 1st ed. 2016 |
| Series: | Operator Theory: Advances and Applications
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
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