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

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


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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.

About the book
Author
Daniel  Alpay , Maria Elena  Luna-Elizarrarás , Michael  Shapiro , Daniele C.  Struppa
Imprint
Springer
Collection
SpringerBriefs in Mathematics
Publication date
2014-03-19
Pages
95 pages
Print ISBN
9783319051093
Language
English
Ebook informations
EAN EPUB
9783319051109
Price
£44.99
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Copy count 0
Print count 9
File size 2140 Ko
Ce livre est accessible aux handicaps   Informations accessibility
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