论文标题

普遍谐波功能在树上的双代数通用性

Double algebraic genericity of universal harmonic functions on trees

论文作者

Konidas, C. A.

论文摘要

众所周知,树上的通用函数集包含一个向量空间,但零在谐波函数集中密集的零。在本文中,我们通过证明树上的通用函数的集合包含两个向量空间来改善这一结果,除了在谐波函数的空间中稠密,并且仅在零时相交。

It is well known that the set of universal functions on a tree contains a vector space except zero which is dense in the set of harmonic functions. In this paper we improve this result by proving that the set of universal functions on a tree contains two vector spaces except zero which are dense in the space of harmonic functions and intersect only at zero.

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