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

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

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...

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