抽象空间中的有势马尔科夫过程(Ⅱ)

ON THE POTENTIAL MARKOV PROCESSES IN ABSTRACT SPACES(Ⅱ)

本文是[10]的续篇.§1把[3]的部分结果推广到抽象可测空间.这里研究的一类 q 过程即 Reuter1957年于[1]中构造的 Q 过程在抽象空间中的拓广,它在 q 过程构造论中起过重要的作用.

In this paper,a part of Hou Zhenting,Chen Mufa and Chen Anyue's results on potential Q-processes have been extended to abstract spaces.Con- structions of potential Reuter processes and finite exits finite potential q-processes,a existen ceand uniqueness criterion for the honest q-processes that mentioned above,and a necessary and sufficient condition for q-processes satisfying the Kolmogorov backword equation in some point x were obtained.