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Item Details
Title: BASICS OF FUNCTIONAL ANALYSIS WITH BICOMPLEX SCALARS, AND BICOMPLEX SCHUR ANALYSIS
By: Daniel Alpay, Maria Elena Luna-Elizarraras, Michael Shapiro
Format: Paperback

List price: £44.99


We currently do not stock this item, please contact the publisher directly for further information.

ISBN 10: 3319051091
ISBN 13: 9783319051093
Publisher: SPRINGER INTERNATIONAL PUBLISHING AG
Pub. date: 19 March, 2014
Series: SpringerBriefs in Mathematics
Pages: 95
Description: This book provides the foundations for a rigorous theory of functional analysis with bicomplex scalars. It defines the notion of bicomplex modules and then develops the theory of linear functionals and linear operators on bicomplex modules.
Synopsis: 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.
Illustrations: 3 colour illustrations, biography
Publication: Switzerland
Imprint: Springer International Publishing AG
Returns: Returnable
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