Basics of Functional Analysis with Bicomplex Scalars and Bicomplex Schur Analysis

This book PDF is perfect for those who love Mathematics genre, written by Daniel Alpay and published by Springer Science & Business Media which was released on 19 March 2014 with total hardcover pages 95. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related Basics of Functional Analysis with Bicomplex Scalars and Bicomplex Schur Analysis books below.

Basics of Functional Analysis with Bicomplex Scalars and Bicomplex Schur Analysis
Basics of Functional Analysis with Bicomplex Scalars and Bicomplex Schur Analysis
Author : Daniel Alpay
File Size : 42,7 Mb
Publisher : Springer Science & Business Media
Language : English
Release Date : 19 March 2014
ISBN : 9783319051109
Pages : 95 pages
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Basics of Functional Analysis with Bicomplex Scalars and Bicomplex Schur Analysis by Daniel Alpay Book PDF Summary

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.

Basics of Functional Analysis with Bicomplex Scalars and Bicomplex Schur Analysis

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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

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