Cullen-regular quaternionic functions in a Fueter operator framework
Complex Variables
2008-07-04 v3 Functional Analysis
Abstract
We show characterizations of the class of Cullen-regular functions in the sense of Gentili-Struppa for any domain 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 .
Cite
@article{arxiv.0805.0141,
title = {Cullen-regular quaternionic functions in a Fueter operator framework},
author = {Daniel Alayon-Solarz},
journal= {arXiv preprint arXiv:0805.0141},
year = {2008}
}