Some remarks about Clifford analysis and fractal sets

Abstract

We say that f is left or right Clifford holomorphic on an open set U ⊆ R if DLf = 0 or DRf = 0 on U , respectively. There are variants of these notions for functions on R, in which the derivative in the extra dimension does not have a coefficient. However, in analogy with the ∂ and ∂ operators from complex analysis, one considers pairs of operators on the… (More)

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