Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis (SpringerBriefs in Mathematics)

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

ISBN 10: 3319051091 / ISBN 13: 9783319051093

Published by Springer, 2014

About this Item

Seller Inventory # I-9783319051093

Bibliographic Details

• Title: Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis (SpringerBriefs in Mathematics)
• Publisher: Springer
• Publication Date: 2014
• Language: English
• ISBN 10: 3319051091
• ISBN 13: 9783319051093
• Binding: Soft cover
• Condition: New

About this title

Synopsis

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.