System Theory

Basics of Functional Analysis with Bicomplex Scalars, and by Daniel Alpay,Maria Elena Luna-Elizarrarás,Michael PDF

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

ISBN-10: 3319051091

ISBN-13: 9783319051093

This publication presents the principles for a rigorous thought of useful research with bicomplex scalars. It starts with a close learn of bicomplex and hyperbolic numbers after which defines the suggestion of bicomplex modules. After introducing a couple of norms and internal items on such modules (some of which look during this quantity for the 1st time), the authors strengthen the idea of linear functionals and linear operators on bicomplex modules. All of this can serve for plenty of diversified advancements, like the traditional sensible research with advanced scalars and during this e-book it serves because the foundational fabric for the development and learn of a bicomplex model of the well-known Schur analysis.

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Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis (SpringerBriefs in Mathematics) by Daniel Alpay,Maria Elena Luna-Elizarrarás,Michael Shapiro,Daniele C. Struppa


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