Quaternionic inner and outer functions
Complex Variables
2019-03-06 v2
Abstract
We study properties of inner and outer functions in the Hardy space of the quaternionic unit ball. In particular, we give sufficient conditions as well as necessary ones for functions to be inner or outer.
Cite
@article{arxiv.1810.10070,
title = {Quaternionic inner and outer functions},
author = {Alessandro Monguzzi and Giulia Sarfatti and Daniel Seco},
journal= {arXiv preprint arXiv:1810.10070},
year = {2019}
}