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Catalogue Information
Field name	Details
Dewey Class	515.9
Title	Slice Hyperholomorphic Schur Analysis ([EBook]) / by Daniel Alpay, Fabrizio Colombo, Irene Sabadini.
Author	Alpay, Daniel
Added Personal Name	Colombo, Fabrizio
Added Personal Name	Sabadini, Irene , 1965-
Other name(s)	SpringerLink (Online service)
Publication	Cham : Birkhäuser , 2016.
Physical Details	XII, 362 pages : online resource.
Series	Operator theory : advances and applications 0255-0156 ; ; 256
ISBN	9783319425146
Summary Note	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 The book includes previously unpublished results and provides the basis for new directions of research.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-42514-6
Links to Related Works	Subject References: Functional Analysis . Functions of a Complex Variable . Functions of complex variables . Mathematics . Operator Theory . Schur analysis . Authors: Alpay, Daniel . author . Colombo, Fabrizio . Sabadini, Irene 1965- . Corporate Authors: SpringerLink (Online service) . Series: Operator theory : advances and applications . Classification: 515.9 . 515.9 (DDC 23) .

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Slice Hyperholomorphic Schur Analysis

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