状态空间E为可列的情形下标准三点转移函数族的可微性质的进一步探讨

Further investigation on the differentiability of the family of three-point transition functions with a denumerable state-space

§1 引言[1,2]中,我们对两参数马尔科夫过程的三点转移函数族{Pijkr（s,t）}的解析性质进行了研究,包括可测性,连续性,可微分性等,以及恒正性及状态对的分解定理等。我们发现,两参数马尔科夫过程与单参数马尔科夫过程虽然有某些相似,但更重要的是本质上的不同。本文对两参数马尔科夫过程的三点转移函数族的解析性质作进一步的探讨。

In this paper,the analytical properties,such as measurability,continuity and differentiability,of three point transition functions for Markov processes with two parameters have been stuclied further.