Basics of functional analysis with bicomplex Scalars, and bicomplex Schur analysis / Daniel Alpay, Maria Elena Luna-Elizarraras, Michael Shapiro, Daniele C. Struppa.
2014
QA320
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Title
Basics of functional analysis with bicomplex Scalars, and bicomplex Schur analysis / Daniel Alpay, Maria Elena Luna-Elizarraras, Michael Shapiro, Daniele C. Struppa.
Author
Alpay, Daniel, author.
ISBN
9783319051093
3319051091
9783319051109 electronic book
3319051105 electronic book
3319051091
9783319051109 electronic book
3319051105 electronic book
Published
Cham : Springer Verlag 2014.
Language
English
Description
1 online resource
Call Number
QA320
Dewey Decimal Classification
515.7
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.
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Source of Description
Description based on print version record.
Added Author
Luna-Elizarraras, Maria Elena, author.
Shapiro, Michael, author.
Struppa, Daniele Carlo, 1955-, author.
Shapiro, Michael, author.
Struppa, Daniele Carlo, 1955-, author.
Series
SpringerBriefs in mathematics
Available in Other Form
Basics of Functional Analysis With Bicomplex Scalars, and Bicomplex Schur Analysis
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