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Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis
Daniel AlpayMaria Elena Luna-ElizarrarásMichael ShapiroDaniele C. Struppa
出版Springer Science & Business Media, 2014-03-19
主題Mathematics / Complex AnalysisMathematics / Functional AnalysisScience / System TheoryMathematics / Mathematical AnalysisLanguage Arts & Disciplines / Library & Information Science / General
ISBN33190511059783319051109
URLhttp://books.google.com.hk/books?id=Z9m4BAAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋This 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.