Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis (SpringerBriefs in Mathematics)

By: and and and

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Synopsis
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.
Copyright:
2014

Book Details

Book Quality:
Publisher Quality
ISBN-13:
9783319051109
Related ISBNs:
9783319051093
Publisher:
Springer International Publishing, Cham
Date of Addition:
Copyrighted By:
Springer
Adult content:
No
Language:
English
Has Image Descriptions:
No
Categories:
Nonfiction, Mathematics and Statistics
Submitted By:
Bookshare Staff
Usage Restrictions:
This is a copyrighted book.

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