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010   $a3-319-42514-5
024 7 $a10.1007/978-3-319-42514-6
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035   $a(DE-He213)978-3-319-42514-6
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035   $a(PPN)197455425
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100   $a20161210d2016      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aSlice Hyperholomorphic Schur Analysis /$fby Daniel Alpay, Fabrizio Colombo, Irene Sabadini
205   $a1st ed. 2016.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2016.
215   $a1 online resource (XII, 362 p.)
225 1 $aOperator Theory: Advances and Applications,$x2296-4878 ;$v256
311 08$a3-319-42513-7 
320   $aIncludes bibliographical references and indexes.
327   $aPart 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.
330   $aThis book defines and examines the counterpart of Schur functions and Schur analysis in the slice hyperholomorphic setting. It is organized into three parts: the first introduces readers to classical Schur analysis, while the second offers background material on quaternions, slice hyperholomorphic functions, and quaternionic functional analysis. The third part represents the core of the book and explores quaternionic Schur analysis and its various applications. The book includes previously unpublished results and provides the basis for new directions of research.
410  0$aOperator Theory: Advances and Applications,$x2296-4878 ;$v256
606   $aFunctions of complex variables
606   $aFunctional analysis
606   $aOperator theory
606   $aFunctions of a Complex Variable
606   $aFunctional Analysis
606   $aOperator Theory
615  0$aFunctions of complex variables.
615  0$aFunctional analysis.
615  0$aOperator theory.
615 14$aFunctions of a Complex Variable.
615 24$aFunctional Analysis.
615 24$aOperator Theory.
676   $a515.782
700   $aAlpay$b Daniel$4aut$4http://id.loc.gov/vocabulary/relators/aut$054298
702   $aColombo$b Fabrizio$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aSabadini$b Irene$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910155444703321
996   $aSlice Hyperholomorphic Schur Analysis$92175766
997   $aUNINA