2017
Том 69
№ 9

All Issues

Trees as Level Sets for Pseudoharmonic Functions in the Plane

Polulyakh E. O.

Full text (.pdf)


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.

Full text