论文标题
多项式生长在无限一分钱图上的谐波功能
Harmonic functions of polynomial growth on infinite penny graphs
论文作者
论文摘要
对于无限的一分钱图,我们研究了多项式生长的谐波函数空间或热方程式的古代解决方案的有限维特性。我们证明了上述空间的渐近尺寸估计值。
For an infinite penny graph, we study the finite-dimensional property for the space of harmonic functions, or ancient solutions of the heat equation, of polynomial growth. We prove the asymptotically sharp dimensional estimate for the above spaces.