Bulletin de la Société Royale des Sciences de Liège Bulletin de la Société Royale des Sciences de Liège -  Volume 70 - Année 2001  Numéro 4 - 5 - 6 

Differentiability of functions with values in some real associative algebras : approaches to an old problem

Richard Delanghe, 

Vakgroep Wiskundige Analyse, Universiteit Gent, Galglaan 2, B 9000 Gent (Belgium), rd@cage.rug.ac.be

Rolf Sölen Krausshar, 

Vakgroep Wiskundige Analyse, Universiteit Gent Galglaan 2, B 9000 Gent (Belgium), krauss@cage.rug.ac.be

Helmuth Robert MALONEK, 

Departamento de Matemática, Universidade de Aveiro, Campus Universitário Santiago, P 3810-193 Aveiro (Poltugal), hrmalon@mat.ua.pt

Abstract

During the last one hundred and fifty years several mathematicians and physicists considered the question of generalizing real or complex differentiability and derivability to the case of algebra-valued functions and their relation to higher dimensional function theories.  In this paper we give an overview of some attempts and approaches.

1AMS-Classification : 30 G 35

Pour citer cet article

Richard Delanghe, Rolf Sölen Krausshar & Helmuth Robert MALONEK, «Differentiability of functions with values in some real associative algebras : approaches to an old problem», Bulletin de la Société Royale des Sciences de Liège [En ligne], Numéro 4 - 5 - 6, Volume 70 - Année 2001, 231 – 249 URL : http://popups.ulg.be/0037-9565/index.php?id=1870.