Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : électronique
Auteur(s) : Alpay, Daniel (1956-....)
Luna-Elizarrarás, Maria Elena
Shapiro, Michael V.
Struppa, Daniele Carlo (1955-....)
Titre(s) : Basics of functional analysis with bicomplex scalars, and bicomplex Schur analysis [Texte électronique] / Daniel Alpay, Maria Elena Luna-Elizarrarás, Michael Shapiro, Daniele C. Struppa
Publication : Cham ; New York : Springer, cop. 2014
Description matérielle : 1 ressource dématérialisée
Collection : Springer briefs in mathematics
Lien à la collection : SpringerBriefs in mathematics (Internet)
Note(s) : Includes bibliographical references
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
Sujet(s) : Analyse fonctionnelle
Fonctions d'une variable complexe
Champs scalaires
Schur, Fonctions de
Indice(s) Dewey :
515.7 (23e éd.) = Analyse fonctionnelle
Identifiants, prix et caractéristiques : ISBN 9783319051109
Identifiant de la notice : ark:/12148/cb44675718q
Notice n° :
FRBNF44675718
(notice reprise d'un réservoir extérieur)
Table des matières : Bicomplex and hyberbolic numbers ; Bicomplex functions and matrices ; BC-modules
; Norms and inner products on BC-modules ; Linear functionals and linear operators
on BC-modules ; Schur analysis.
