Slice Hyperholomorphic Schur Analysis

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 f...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Alpay, Daniel (Autor), Colombo, Fabrizio (Autor), Sabadini, Irene (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
Edición:1st ed. 2016.
Colección:Operator Theory: Advances and Applications, 256
Temas:
Functions of complex variables.
Functional analysis.
Operator theory.
Functions of a Complex Variable.
Functional Analysis.
Operator Theory.
Acceso en línea:Texto Completo

MARC

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100 1 |a Alpay, Daniel.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Slice Hyperholomorphic Schur Analysis  |h [electronic resource] /  |c by Daniel Alpay, Fabrizio Colombo, Irene Sabadini. 
250 |a 1st ed. 2016. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Birkhäuser,  |c 2016. 
300 |a XII, 362 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Operator Theory: Advances and Applications,  |x 2296-4878 ;  |v 256 
505 0 |a 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. 
520 |a 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. 
650 0 |a Functions of complex variables. 
650 0 |a Functional analysis. 
650 0 |a Operator theory. 
650 1 4 |a Functions of a Complex Variable. 
650 2 4 |a Functional Analysis. 
650 2 4 |a Operator Theory. 
700 1 |a Colombo, Fabrizio.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Sabadini, Irene.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783319425139 
776 0 8 |i Printed edition:  |z 9783319425153 
776 0 8 |i Printed edition:  |z 9783319825977 
830 0 |a Operator Theory: Advances and Applications,  |x 2296-4878 ;  |v 256 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-3-319-42514-6  |z Texto Completo 
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912 |a ZDB-2-SXMS 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713) 

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