论文标题
紧凑的组上的谐波功能
Harmonic Functions on Compactly Generated Groups
论文作者
论文摘要
当且仅当它允许非恒定谐波函数时（对于某些情况，对于每个合理的措施等效）时，紧凑的群体是不兼容的。 这概括了以下事实：有限生成的组是无限的，并且仅当它接受非恒定的谐波函数（对于某些等效的每一个合理的措施）时。
A compactly generated group is noncompact if and only if it admits a nonconstant harmonic function (for some, equivalently for every, reasonable measure). This generalizes the known fact that a finitely generated group is infinite if and only if it admits a nonconstant harmonic function (for some, equivalently every, reasonable measure).
