On Some Modifications of the Fueter Operator
Analysis of PDEs
2007-05-23 v9 Mathematical Physics
math.MP
Abstract
We present some classes of functions that are defined on the quaternions as solutions for a linear operator that resembles the Cauchy-Riemann conditions. Unlike the Fueter regular functions; in this case the identity function is a solution and solutions are closed under the quaternionic product.
Cite
@article{arxiv.math/0412125,
title = {On Some Modifications of the Fueter Operator},
author = {Daniel Alayon-Solarz},
journal= {arXiv preprint arXiv:math/0412125},
year = {2007}
}