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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis

Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis

Luna-Elizarrarás, Maria Elena
Shapiro, Michael
Alpay, Daniel

Paperback

Series: Springerbriefs in Mathematics

General MathematicsGeneral Science

ISBN10: 3319051091
ISBN13: 9783319051093
Publisher: Springer Nature
Published: Apr 4 2014
Pages: 95
Weight: 0.40
Height: 0.40 Width: 6.00 Depth: 8.90
Language: English
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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