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arXiv · 0805.0141

Cullen-regular quaternionic functions in a Fueter operator framework

Daniel Alayon-Solarz
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Abstract

We show characterizations of the class of Cullen-regular functions in the sense of Gentili-Struppa for any domain $Ω$ 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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BibTeXRIS

Daniel Alayon-Solarz. 2008-07-03. Cullen-regular quaternionic functions in a Fueter operator framework. https://arxiv.org/abs/0805.0141

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