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arXiv · 1908.09767

Algebraic genericity of frequently universal harmonic functions on trees

N. Biehler·V. Nestoridis·A. Stavrianidi
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Abstract

We show that the set of frequently universal harmonic functions on a tree T contains a vector space except 0 which is dense in the space of harmonic functions on T seen as subset of C^T . In order to prove this we replace the complex plane C by any separable Frechet space E and we repeat all the theory.

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N. Biehler, V. Nestoridis, A. Stavrianidi. 2019-08-26. Algebraic genericity of frequently universal harmonic functions on trees. https://arxiv.org/abs/1908.09767

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