Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis
Author:   Daniel Alpay ,  Maria Elena Luna-Elizarrarás ,  Michael Shapiro ,  Daniele C. Struppa
Publisher:   Springer International Publishing AG
ISBN:  

9783319051093


Pages:   95
Publication Date:   04 April 2014
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis


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Overview

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.

Full Product Details

Author:   Daniel Alpay ,  Maria Elena Luna-Elizarrarás ,  Michael Shapiro ,  Daniele C. Struppa
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Dimensions:   Width: 15.50cm , Height: 1.00cm , Length: 23.50cm
Weight:   1.825kg
ISBN:  

9783319051093


ISBN 10:   3319051091
Pages:   95
Publication Date:   04 April 2014
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of 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.

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