Detalles del Título
Detalles del Título

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Título Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur AnalysisLibro Electrónico / En Línea - Libro
Parte de Springer eBooks 2014: Colección 2013-2014
Autor(es) Alpay, Daniel (Autor)
Luna-Elizarrarás, Maria Elena (Autor)
Shapiro, Michael (Autor)
Struppa, Daniele C (Autor)
SpringerLink (Online service) (Autor Corporativo)
Descripción Fí­sica 1 recurso en línea
Idioma Ingles;
Series SpringerBriefs in Mathematics
ISBN 9783319051109
Clasificación(es) 515.9
Materia(s) Mathematics; Functional analysis; Functions of complex variables; Operator Theory; System analysis; Functions of a Complex Variable; Systems Theory - Control;
Nota(s) 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
Resumen 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
Objetos Asociados http://dx.doi.org/10.1007/978-3-319-05110-9
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Número Accesos 1