ENGLISH

Basics of functional analysis with bicomplex scalars, and bicomplex Schur analysis

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

Book information

Publisher
Springer
Year
2014
ISBN
3319051091, 978-3-319-05109-3, 978-3-319-05110-9
Language
english
Format
PDF
Filesize
949 kB (971407 bytes)
Series
SpringerBriefs in Mathematics
Pages
107\107
Library
kolxoz
Time added
2015-12-12 14:00:00

Description

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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