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＜電子ブック＞
Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis / by Daniel Alpay, Maria Elena Luna-Elizarrarás, Michael Shapiro, Daniele C. Struppa
(SpringerBriefs in Mathematics. ISSN:21918201)

版	1st ed. 2014.
出版者	Cham : Springer International Publishing : Imprint: Springer
出版年	2014
本文言語	英語
大きさ	XV, 95 p. 3 illus. in color : online resource
著者標目	*Alpay, Daniel author Luna-Elizarrarás, Maria Elena author Shapiro, Michael author Struppa, Daniele C author SpringerLink (Online service)
件　名	LCSH:Functions of complex variables LCSH:Functional analysis LCSH:Operator theory LCSH:System theory LCSH:Control theory FREE:Functions of a Complex Variable FREE:Functional Analysis FREE:Operator Theory FREE:Systems Theory, Control
一般注記	1. Bicomplex and hyperbolic numbers -- 2. Bicomplex functions and matrices -- 3. BC-modules -- 4. Norms and inner products on BC-modules -- 5. Linear functionals and linear operators on BC-modules -- 6. Schur analysis 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 HTTP:URL=https://doi.org/10.1007/978-3-319-05110-9

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