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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

Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis Paperback / softback - 2014

by Daniel Alpay

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Paperback / softback. New. This book provides the foundations for a rigorous theory of functional analysis with bicomplex scalars. It defines the notion of bicomplex modules and then develops the theory of linear functionals and linear operators on bicomplex modules.
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Details

  • Title Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis
  • Author Daniel Alpay
  • Binding Paperback
  • Condition New
  • Language ENG
  • Publisher Springer
  • Publication date 2014
  • Features Illustrated
  • Bookseller's Inventory # B9783319051093
  • ISBN 9783319051093
  • Themes
    • Aspects (Academic): Science/Technology Aspects
  • Quantity available 10

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Reader reviews for Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis

From the publisher

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.

From the rear cover

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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