A four dimensional Bernstein Theorem
Complex Variables
2023-03-15 v1
Abstract
We prove a four dimensional version of the Bernstein Theorem, with complex polynomials being replaced by quaternionic polynomials. We deduce from the theorem a quaternionic Bernstein's inequality and give a formulation of this last result in terms of four-dimensional zonal harmonics and Gegenbauer polynomials.
Cite
@article{arxiv.1903.03068,
title = {A four dimensional Bernstein Theorem},
author = {Alessandro Perotti},
journal= {arXiv preprint arXiv:1903.03068},
year = {2023}
}