Generalized harmonic functions on trees: Universality and frequent universality

N. Biehler, E. Nestoridi, V. Nestoridis

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Article number125277
JournalJournal of Mathematical Analysis and Applications
Issue number1
StatePublished - Nov 1 2021

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics


  • Boundary of the tree
  • Frequent universality
  • Topological and algebraic genericity
  • Tree
  • Universality


Dive into the research topics of 'Generalized harmonic functions on trees: Universality and frequent universality'. Together they form a unique fingerprint.

Cite this