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Slice hyperholomorphic Schur analysis / / by Daniel Alpay, Fabrizio Colombo, Irene Sabadini



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Autore: Alpay Daniel Visualizza persona
Titolo: Slice hyperholomorphic Schur analysis / / by Daniel Alpay, Fabrizio Colombo, Irene Sabadini Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2016
Edizione: 1st ed. 2016.
Descrizione fisica: 1 online resource (XII, 362 p.)
Disciplina: 515.782
Soggetto topico: Functions of complex variables
Functional analysis
Operator theory
Functions of a Complex Variable
Functional Analysis
Operator Theory
Persona (resp. second.): ColomboFabrizio
SabadiniIrene
Nota di bibliografia: Includes bibliographical references and indexes.
Nota di contenuto: 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.
Sommario/riassunto: 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 The book includes previously unpublished results and provides the basis for new directions of research.
Titolo autorizzato: Slice Hyperholomorphic Schur Analysis  Visualizza cluster
ISBN: 3-319-42514-5
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910155444703321
Lo trovi qui: Univ. Federico II
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Serie: Operator Theory: Advances and Applications, . 0255-0156 ; ; 256