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Zeitschrift für Analysis und ihre Anwendungen


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Volume 22, Issue 2, 2003, pp. 261–273
DOI: 10.4171/ZAA/1144

Published online: 2003-06-30

On Harmonic Potential Fields and the Structure of Monogenic Functions

Fred Brackx[1] and R. Delanghe[2]

(1) Gent University, Belgium
(2) Universiteit Gent, Belgium

In specific open domains of Euclidean space, a correspondence is established between a monogenic function and a sequence of harmonic potential fields, leading to the construction of a unique vector-valued conjugate harmonic homogeneous polynomial to a given real-valued solid harmonic.

Keywords: Monogenic function, solid harmonic, harmonic potential field

Brackx Fred, Delanghe R.: On Harmonic Potential Fields and the Structure of Monogenic Functions. Z. Anal. Anwend. 22 (2003), 261-273. doi: 10.4171/ZAA/1144