Del 256 - Operator Theory: Advances and Applications

Slice Hyperholomorphic Schur Analysis

Häftad, Engelska, 2018

AvDaniel Alpay,Fabrizio Colombo,Irene Sabadini

1 369 kr

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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

Utgivningsdatum2018-07-04
Mått155 x 235 x 21 mm
Vikt569 g
FormatHäftad
SpråkEngelska
SerieOperator Theory: Advances and Applications
Antal sidor362
FörlagBirkhauser Verlag AG
ISBN9783319825977

Tillhör följande kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

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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