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Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis

Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis

Daniel Alpay / Maria Elena Luna-Elizarrarás / Michael Shapiro

68,04 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2014
Materia
Cálculo y análisis matemático
ISBN:
9783319051093
68,04 €
IVA incluido
Disponible

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Sobre IBD

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.

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