Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis
1st Edition
Published on 19. March 2014
XV, 95 pages
978-3-319-05110-9 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
XV, 95 p. 3 illus. in color.
File size
1,53 MB
ISBN-13
978-3-319-05110-9 (9783319051109)
DOI
10.1007/978-3-319-05110-9
Schweitzer Classification
Other editions
Additional editions
Daniel Alpay | Maria Elena Luna-Elizarrarás | Michael Shapiro
Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis
Book
04/2014
Springer
€53.49
Shipment within 10-15 days
Content
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.
