Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis by Daniel AlpayBasics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis by Daniel Alpay

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

byDaniel Alpay, Maria Elena Luna-elizarrar, Michael Shapiro

Paperback | April 4, 2014

Pricing and Purchase Info

$72.68 online 
$75.95 list price
Earn 363 plum® points

Prices and offers may vary in store

Quantity:

In stock online

Ships free on orders over $25

Not available in stores

about

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.
Title:Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur AnalysisFormat:PaperbackDimensions:95 pages, 23.5 × 15.5 × 0.02 inPublished:April 4, 2014Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3319051091

ISBN - 13:9783319051093

Reviews

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.