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- Differentiability of functions with values in some real associative algebras : approaches to an old problem
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Differentiability of functions with values in some real associative algebras : approaches to an old problem
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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
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About: Richard Delanghe
Vakgroep Wiskundige Analyse, Universiteit Gent, Galglaan 2, B 9000 Gent (Belgium), rd@cage.rug.ac.be
About: Rolf Sölen Krausshar
Vakgroep Wiskundige Analyse, Universiteit Gent Galglaan 2, B 9000 Gent (Belgium), krauss@cage.rug.ac.be
About: Helmuth Robert MALONEK
Departamento de Matemática, Universidade de Aveiro, Campus Universitário Santiago, P 3810-193 Aveiro (Poltugal), hrmalon@mat.ua.pt