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Catalogue Information
Field name	Details
Dewey Class	515.9
Title	Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis ([Ebook]) / by Daniel Alpay, Maria Elena Luna-Elizarrarás, Michael Shapiro, Daniele C. Struppa.
Author	Alpay, Daniel
Added Personal Name	Luna-Elizarrarás, Maria Elena
	Shapiro, Michael
	Struppa, Daniele C.
Other name(s)	SpringerLink (Online service)
Publication	Cham Springer International Publishing 2014.
Physical Details	XV, 95 p. 3 illus. in color. : online resource.
ISBN	9783319051109
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions and access ia available through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-05110-9
Links to Related Works	Subject References: Functional Analysis . Functions of complex variables . Operator Theory . Schur functions . Systems theory . Systems Theory, Control . Authors: Alpay, Daniel . author . Luna-Elizarrarás, Maria Elena . Shapiro, Michael . Struppa, Daniele C. . Corporate Authors: SpringerLink (Online service) . Series: SpringerBriefs in Mathematics . Classification: 515.9 . 515.9 (DDC 23) .

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

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