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

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...

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Main Authors: Alpay, Daniel, Luna-Elizarrarás, Maria Elena (Author), Shapiro, Michael (Author), Struppa, Daniele C. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2014, 2014
Edition:1st ed. 2014
Series:SpringerBriefs in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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