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 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 The book includes previously unpublished results and provides the basis for new directions of research.
| Autor: | Alpay, Daniel Colombo, Fabrizio Sabadini, Irene |
|---|---|
| ISBN: | 9783319425139 |
| Sprache: | Englisch |
| Seitenzahl: | 362 |
| Produktart: | Gebunden |
| Verlag: | Springer International Publishing |
| Veröffentlicht: | 16.12.2016 |
| 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 |