中文摘要：

本文研究凯莱-海森保群上的格林函数．利用凯莱一海森堡群上热核的解析表达式．导出了一阶凯莱-海森堡群上的格林函数的有理分式表示的公式．

英文摘要：

In this paper the Green function on the Cayley Heisenberg groups is discussed. The rational fractional formula of the Green function on the Cayley Heisenberg group CH^1 is derived by using the explicit expression of the heat kernels for the Cayley Heisenberg groups.