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

Libro 39 di 155: SpringerBriefs in Mathematics

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

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

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Dalla quarta di copertina

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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Altre edizioni note dello stesso titolo

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

Edizione in evidenza

ISBN 10:  3319051113 ISBN 13:  9783319051116
Casa editrice: Springer, 2014
Brossura