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- Differentiability of functions with values in some real associative algebras : approaches to an old problem
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Visualisation(s): 219 (0 ULiège)
Téléchargement(s): 1927 (1 ULiège)
Richard Delanghe, Rolf Sölen Krausshar & Helmuth Robert MALONEK 
Differentiability of functions with values in some real associative algebras : approaches to an old problem
(Volume 70 - Année 2001 — Numéro 4 - 5 - 6)
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Document(s) associé(s)
Annexes
Mots-clés : derivability, algebra-valued functions
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.
A propos de : Richard Delanghe
Vakgroep Wiskundige Analyse, Universiteit Gent, Galglaan 2, B 9000 Gent (Belgium), rd@cage.rug.ac.be
A propos de : Rolf Sölen Krausshar
Vakgroep Wiskundige Analyse, Universiteit Gent Galglaan 2, B 9000 Gent (Belgium), krauss@cage.rug.ac.be
A propos de : Helmuth Robert MALONEK
Departamento de Matemática, Universidade de Aveiro, Campus Universitário Santiago, P 3810-193 Aveiro (Poltugal), hrmalon@mat.ua.pt