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Author Alpay, Daniel, author

Title Basics of functional analysis with bicomplex Scalars, and bicomplex Schur analysis / Daniel Alpay, Maria Elena Luna-Elizarraras, Michael Shapiro, Daniele C. Struppa
Published Cham : Springer Verlag, 2014
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Description 1 online resource
Series SpringerBriefs in Mathematics, 2191-8198
SpringerBriefs in mathematics. 2191-8198
Contents 1. 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
Summary 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
Notes Print version record
Subject Functional analysis.
Functions of complex variables.
Form Electronic book
Author Luna-Elizarrarás, Maria Elena, author
Shapiro, Michael, author
Struppa, Daniele Carlo, 1955- author
ISBN 3319051105 (electronic bk.)
9783319051109 (electronic bk.)