树上泛调和函数的双代数通用性
Double algebraic genericity of universal harmonic functions on trees
摘要:
树上的通用函数集在调和函数集中除零之外都包含一个稠密的向量空间。本文改进了这一结果,证明了树上的通用函数集包含两个在调和函数空间中稠密且只在零点相交的除零之外的向量空间。
英文摘要:
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.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。