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Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis (Paperback, 2014) Loot Price: R1,739
Discovery Miles 17 390
Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis (Paperback, 2014): Daniel Alpay, Maria Elena...

Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis (Paperback, 2014)

Daniel Alpay, Maria Elena Luna-Elizarraras, Michael Shapiro, Daniele C. Struppa

Series: SpringerBriefs in Mathematics

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Loot Price R1,739 Discovery Miles 17 390 | Repayment Terms: R163 pm x 12*

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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.

General

Imprint: Springer International Publishing AG
Country of origin: Switzerland
Series: SpringerBriefs in Mathematics
Release date: April 2014
First published: 2014
Authors: Daniel Alpay • Maria Elena Luna-Elizarraras • Michael Shapiro • Daniele C. Struppa
Dimensions: 235 x 155 x 10mm (L x W x T)
Format: Paperback
Pages: 95
Edition: 2014
ISBN-13: 978-3-319-05109-3
Categories: Books > Reference & Interdisciplinary > Communication studies > Information theory > Cybernetics & systems theory
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
LSN: 3-319-05109-1
Barcode: 9783319051093

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