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

Daniel Alpay (u. a.)

ISBN 10: 3319051091 / ISBN 13: 9783319051093

Published by Springer, 2014

About this Item

Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis | Daniel Alpay (u. a.) | Taschenbuch | SpringerBriefs in Mathematics | xv | Englisch | 2014 | Springer | EAN 9783319051093 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

Seller Inventory # 105401249

Bibliographic Details

• Title: Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis
• Publisher: Springer
• Publication Date: 2014
• Language: English
• ISBN 10: 3319051091
• ISBN 13: 9783319051093
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 7D millimeters 235 millimeters width by 155 millimeters height by 7 millimeters depth
• Weight: 184 grams
• Seller catalogs:
  • Bücher

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.