Scholarlink

<p>It has been shown that the set of universal functions on trees contains a linear subspace except zero, dense in the space of forward-only harmonic functions. In this paper, we show that the set of universal functions contains two linear subspaces except zero, dense in the space of forward-only 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.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Double algebraic genericity of universal forward-only harmonic functions on trees in the general case

  • 期刊论文

  • 发表日期：

    2026年1月8日

查看全文
  • Christos Angelos Konidas,
  • Vassili Nestoridis

摘要

It has been shown that the set of universal functions on trees contains a linear subspace except zero, dense in the space of forward-only harmonic functions. In this paper, we show that the set of universal functions contains two linear subspaces except zero, dense in the space of forward-only 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.