Double algebraic genericity of universal harmonic functions on trees
Functional Analysis
2022-01-04 v1 Probability
Abstract
It is well known that the set of universal functions on a tree contains a vector space except zero which is dense in the set of harmonic functions. In this paper we improve this result by proving that the set of universal functions on a tree contains two vector spaces except zero which are dense in the space of harmonic functions and intersect only at zero.
Keywords
Cite
@article{arxiv.2201.00268,
title = {Double algebraic genericity of universal harmonic functions on trees},
author = {C. A. Konidas},
journal= {arXiv preprint arXiv:2201.00268},
year = {2022}
}