TY - JOUR
TI - Generalized harmonic functions on trees: Universality and frequent universality
AU - Biehler, N.
AU - Nestoridi, E.
AU - Nestoridis, V.
JO - Australian Journal of Mathematical Analysis and Applications
PY - 2021
VL - 503
TODO - 1
SP - null
PB - Academic Press Inc.
SN - 1449-5910
TODO - 10.1016/j.jmaa.2021.125277
TODO - null
TODO - 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.
ER -