Algebraic genericity of frequently universal harmonic functions on trees
Functional Analysis
2019-08-27 v1 Complex Variables
Probability
Abstract
We show that the set of frequently universal harmonic functions on a tree T contains a vector space except 0 which is dense in the space of harmonic functions on T seen as subset of C^T . In order to prove this we replace the complex plane C by any separable Frechet space E and we repeat all the theory.
Keywords
Cite
@article{arxiv.1908.09767,
title = {Algebraic genericity of frequently universal harmonic functions on trees},
author = {N. Biehler and V. Nestoridis and A. Stavrianidi},
journal= {arXiv preprint arXiv:1908.09767},
year = {2019}
}