Slice regular functions of several octonionic variables
Complex Variables
2018-12-12 v1
Abstract
Octonionic analysis is becoming eminent due to the role of octonions in the theory of G2 manifold. In this article, a new slice theory is introduced as a generalization of the holomorphic theory of several complex variables to the noncommutative or nonassociative realm. The Bochner-Martinelli formula is established for slice functions of several octonionic variables as well as several quaternionic variables. In this setting, we find the Hartogs phenomena for slice regular functions
Cite
@article{arxiv.1812.04499,
title = {Slice regular functions of several octonionic variables},
author = {Guangbin Ren and Ting Yang},
journal= {arXiv preprint arXiv:1812.04499},
year = {2018}
}
Comments
arXiv admin note: text overlap with arXiv:1008.4318 by other authors