论文标题
在一般情况下，树木上通用谐波功能的双代数通用性
Double algebraic genericity of universal harmonic functions on trees in the general case
论文作者
论文摘要
已经表明，树上的通用函数集包含一个线性子空间，除了零，在谐波函数的空间中密集。在本文中，我们表明，通用函数的集合包含两个线性子空间，除了零，在谐波函数空间中仅相交仅在零时。我们在到目前为止研究的最一般情况下工作，让我们的功能在拓扑矢量空间上具有值。
It has been shown that the set of universal functions on trees contains a linear subspace except zero, dense in the space of harmonic functions. In this paper we show that the set of universal functions contains two linear subspaces except zero, dense in the space of harmonic functions that intersect only at zero. We work in the most general case that has been studied so far, letting our functions take values over a topological vector space.
