Slice regular functions in several variables
Complex Variables
2023-10-16 v1 Rings and Algebras
Abstract
In this paper, we lay the foundations of the theory of slice regular functions in several variables ranging in any real alternative -algebra, including quaternions, octonions and Clifford algebras. This theory is an extension of the classical theory of holomorphic functions in several complex variables.
Cite
@article{arxiv.2007.14925,
title = {Slice regular functions in several variables},
author = {Riccardo Ghiloni and Alessandro Perotti},
journal= {arXiv preprint arXiv:2007.14925},
year = {2023}
}