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035   $a(OCoLC)874852002
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035   $a(DE-He213)978-3-319-05110-9
035   $a(PPN)177823046
035   $a(EXLCZ)992670000000547998
100   $a20140319d2014      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aBasics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis /$fby Daniel Alpay, Maria Elena Luna-Elizarrarás, Michael Shapiro, Daniele C. Struppa
205   $a1st ed. 2014.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014.
215   $a1 online resource (107 p.)
225 1 $aSpringerBriefs in Mathematics,$x2191-8198
300   $aDescription based upon print version of record.
311 08$a3-319-05109-1 
320   $aIncludes bibliographical references at the end of each chapters.
327   $a1. Bicomplex and hyperbolic numbers -- 2. Bicomplex functions and matrices -- 3. BC-modules -- 4. Norms and inner products on BC-modules -- 5. Linear functionals and linear operators on BC-modules -- 6. Schur analysis.
330   $aThis book provides the foundations for a rigorous theory of functional analysis with bicomplex scalars. It begins with a detailed study of bicomplex and hyperbolic numbers, and then defines the notion of bicomplex modules. After introducing a number of norms and inner products on such modules (some of which appear in this volume for the first time), the authors develop the theory of linear functionals and linear operators on bicomplex modules. All of this may serve for many different developments, just like the usual functional analysis with complex scalars, and in this book it serves as the foundational material for the construction and study of a bicomplex version of the well known Schur analysis.
410  0$aSpringerBriefs in Mathematics,$x2191-8198
606   $aFunctions of complex variables
606   $aFunctional analysis
606   $aOperator theory
606   $aSystem theory
606   $aFunctions of a Complex Variable$3https://scigraph.springernature.com/ontologies/product-market-codes/M12074
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
606   $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139
606   $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070
615  0$aFunctions of complex variables.
615  0$aFunctional analysis.
615  0$aOperator theory.
615  0$aSystem theory.
615 14$aFunctions of a Complex Variable.
615 24$aFunctional Analysis.
615 24$aOperator Theory.
615 24$aSystems Theory, Control.
676   $a515.7
700   $aAlpay$b Daniel$4aut$4http://id.loc.gov/vocabulary/relators/aut$054298
702   $aLuna-Elizarrara?s$b Maria Elena$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aShapiro$b Michael$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aStruppa$b Daniele C$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910299962003321
996   $aBasics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis$92517527
997   $aUNINA