Slice Hyperholomorphic Schur Analysis

AvDaniel Alpay,Fabrizio Colombo

Häftad, Engelska, 2018

Del 256 i serien Operator Theory: Advances and Applications

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2018-07-04
Mått:155 x 235 x 21 mm
Vikt:569 g
Format:Häftad
Språk:Engelska
Serie:Operator Theory: Advances and Applications
Antal sidor:362
Förlag:Birkhauser Verlag AG
ISBN:9783319825977

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Recensioner i media

“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)

Innehållsförteckning

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.

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