Cullen-regular quaternionic functions in a Fueter operator framework

Details Cullen-regular quaternionic functions in a Fueter operator framework Cullen-regular quaternionic functions in a Fueter operator framework

2008-05-02

arxiv.org/abs/0805.0141v3

Mathematics

Complex Variables

Scientific paper

We show characterizations of the class of Cullen-regular functions in the
sense of Gentili-Struppa for any domain $\Omega$ in terms of the Fueter
operator. We then state a Integral Theorem and discuss how it can be used to
define a more general version of Cullen-regularity, that does not require the
function to be of class $C^{1}$.

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