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Titlebook: Slice Hyperholomorphic Schur Analysis; Daniel Alpay,Fabrizio Colombo,Irene Sabadini Book 2016 Springer International Publishing Switzerlan

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书目名称Slice Hyperholomorphic Schur Analysis
编辑Daniel Alpay,Fabrizio Colombo,Irene Sabadini
视频video
概述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 Schu
丛书名称Operator Theory: Advances and Applications
图书封面Titlebook: Slice Hyperholomorphic Schur Analysis;  Daniel Alpay,Fabrizio Colombo,Irene Sabadini Book 2016 Springer International Publishing Switzerlan
描述.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 The book includes previously unpublished results and provides the basis for new directions of research..
出版日期Book 2016
关键词Slice hyperholomorphic functions; quaternions; reproducing kernels; reproducing kernel spaces; analytic
版次1
doihttps://doi.org/10.1007/978-3-319-42514-6
isbn_softcover978-3-319-82597-7
isbn_ebook978-3-319-42514-6Series ISSN 0255-0156 Series E-ISSN 2296-4878
issn_series 0255-0156
copyrightSpringer International Publishing Switzerland 2016
The information of publication is updating

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Daniel Alpay,Fabrizio Colombo,Irene SabadiniDeals 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 Schu
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Rational Functions-valued rational functions (that is, of matrices whose entries are quotients of polynomials). Note that realizations of elements in certain classes of operator-valued analytic functions have been considered in Section 1.6.
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