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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2016.
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| Edición: | 1st ed. 2016. |
| Colección: | Operator Theory: Advances and Applications,
256 |
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- 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.