Slice Hyperholomorphic Schur Analysis
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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 The book includes previously unpublished results and provides the basis for new directions of research.
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 The book includes previously unpublished results and provides the basis for new directions of research.
Deals with Schur Analysis in the quaternionic setting Contains several new results which cannot be found anywhere else in the literature Defines and studies the counterpart of Schur functions and Schur analysis in the slice hyperholomorphic setting
Autor*in
Daniel Alpay
Themen in »Slice Hyperholomorphic Schur Analysis«
Slice hyperholomorphic functions quaternions reproducing kernels reproducing kernel spaces analytic functions linear operators linear systems interpolation problems indefinite inner product spaces Krein and Pontryagin spaces
Stimmen zu »Slice Hyperholomorphic Schur Analysis«
“Purpose of the book is to define and study the counterpart of Schur functions and Schur analysis in the context of slice hyperholomorphic quaternionic functions. … the book is an important contribution into each of the two theoriesthose of Schur analysis and of slice hyperholomorphic functions.” (Michael Shapiro, Mathematical Reviews, September, 2017)
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