Trees as Level Sets for Pseudoharmonic Functions in the Plane

  • E. O. Polulyakh

Abstract

Let T be a finite or infinite tree and let V 0 be the set of all vertices of T of valency 1. We propose a sufficient condition for the image of the imbedding ψ: T \V 0 → \( {{\mathbb{R}}^2} \) to be a level set of a pseudoharmonic function.
Published
25.07.2013
How to Cite
PolulyakhE. O. “Trees As Level Sets for Pseudoharmonic Functions in the Plane”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, no. 7, July 2013, pp. 974–995, http://umj.imath.kiev.ua/index.php/umj/article/view/2483.
Section
Research articles