Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis - Couverture souple

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

 
9783319051093: Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This book provides the foundations for a rigorous theory of functional analysis with bicomplex scalars. It defines the notion of bicomplex modules and then develops the theory of linear functionals and linear operators on bicomplex modules.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9783319051116: Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis

Edition présentée

ISBN 10 :  3319051113 ISBN 13 :  9783319051116
Editeur : Springer, 2014
Couverture souple