Click Here to Download: https://ouo.io/Uot1yns Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis By: Daniel Alpay; Maria Elena Luna-Elizarrarás; Michael Shapiro; Daniele C. Struppa Publisher: Springer Print ISBN: 9783319051093, 3319051091 eText ISBN: 9783319051109, 3319051105 Copyright year: 2014 Format: EPUB Available from $ 54.99 USD SKU 9783319051109 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.
