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

by Maria Elena Luna-Elizarraras, Daniele C. Struppa, Daniel Alpay, et al.

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...

• Format: Paperback
• Language: English
• ISBN: 3319051091
• ISBN13: 9783319051093
• Release Date: April 2014
• Publisher: Springer
• Length: 95 Pages
• Weight: 0.40 lbs.
• Dimensions: 0.4" x 6.0" x 8.9"