@article{3063148, title = "Generalized harmonic functions on trees: Universality and frequent universality", author = "Biehler, N. and Nestoridi, E. and Nestoridis, V.", journal = "Australian Journal of Mathematical Analysis and Applications", year = "2021", volume = "503", number = "1", publisher = "Academic Press Inc.", issn = "1449-5910", doi = "10.1016/j.jmaa.2021.125277", abstract = "Recently, harmonic functions and frequently universal harmonic functions on a tree T have been studied, taking values on a separable Fréchet space E over the field C or R. In the present paper, we allow the functions to take values in a vector space E over a rather general field F. The metric of the separable topological vector space E is translation invariant and instead of harmonic functions we can also study more general functions defined by linear combinations with coefficients in F. We don't assume that E is complete and therefore we present an argument avoiding Baire's theorem. © 2021 Elsevier Inc." }