Download 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

This e-book offers the principles for a rigorous idea of sensible research with bicomplex scalars. It starts off with an in depth research of bicomplex and hyperbolic numbers after which defines the inspiration 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 advance the idea of linear functionals and linear operators on bicomplex modules. All of this can serve for plenty of assorted advancements, like the traditional practical 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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