Regular functions of biquaternionic variables and Maxwell's equations

In this paper we define a notion of regularity for functions of one and several biquaternionic variables. As a special case we obtain the notion of regularity given by Imaeda (1976) that gives rise to Maxwell's equations. We investigate algebraic and analytic properties of these functions and d...

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Bibliographic Details
Published inJournal of geometry and physics Vol. 26; no. 3; pp. 183 - 201
Main Authors Colombo, F., Loustaunau, P., Sabadini, I., Struppa, D.C.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.07.1998
Subjects
Biquaternionic variables
Maxwell's equations
Regular functions
Regular functions
Biquaternionic variables
Maxwell's equations
32D20
Differential geometry
13P10
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Summary:In this paper we define a notion of regularity for functions of one and several biquaternionic variables. As a special case we obtain the notion of regularity given by Imaeda (1976) that gives rise to Maxwell's equations. We investigate algebraic and analytic properties of these functions and discuss their physical interpretations.
ISSN:0393-0440
1879-1662
DOI:10.1016/S0393-0440(97)00035-1