Slice Hyperholomorphic Schur Analysis
Fabrizio Colombo, Irene Sabadini, Daniel Alpay, et al.
Springer International Publishing 
Naturwissenschaften, Medizin, Informatik, Technik / Analysis
Beschreibung
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 The book includes previously unpublished results and provides the basis for new directions of research.
Kundenbewertungen
Krein and Pontryagin spaces, linear systems, interpolation problems, quaternions, reproducing kernels, Slice hyperholomorphic functions, linear operators, indefinite inner product spaces, analytic functions, reproducing kernel spaces