2018
Том 70
№ 1

# Trees as Level Sets for Pseudoharmonic Functions in the Plane

Polulyakh E. O.

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.

English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 7, pp 1087-1110.

Citation Example: Polulyakh E. O. Trees as Level Sets for Pseudoharmonic Functions in the Plane // Ukr. Mat. Zh. - 2013. - 65, № 7. - pp. 974–995.

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