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portada Basics of Functional Analysis With Bicomplex Scalars, and Bicomplex Schur Analysis (Springerbriefs in Mathematics)
Type
Physical Book
Publisher
Author
Year
2014
Language
English
Pages
95
Format
Paperback
ISBN13
9783319051093
Edition No.
2014
Categories

Basics of Functional Analysis With Bicomplex Scalars, and Bicomplex Schur Analysis (Springerbriefs in Mathematics)

Daniel Alpay; Maria Elena Luna-Elizarrarás; Michael Shapiro; Daniele C. Struppa (Author) · Springer · Paperback

Basics of Functional Analysis With Bicomplex Scalars, and Bicomplex Schur Analysis (Springerbriefs in Mathematics) - Daniel Alpay; Maria Elena Luna-Elizarrarás; Michael Shapiro; Daniele C. Struppa

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Synopsis "Basics of Functional Analysis With Bicomplex Scalars, and Bicomplex Schur Analysis (Springerbriefs in Mathematics) "

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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