Permanent sets of measures charging no exceptional sets and the Feynman-Kac Formula

被引:5
|
作者
Kuwae, K
机构
[1] Department of Information Science, Faculty of Science and Technology, Saga University, Saga 840
关键词
D O I
10.1515/form.1995.7.575
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let M(0) be the totality of Borel measures (not necessarily sigma-finite) on a locally compact separable metric space X which charge no exceptional sets of a symmetric Markov process M = (X(1), P-x) on X. We study the permanent set P-(mu) of mu is an element of M(0). By using this set, we establish the one to one correspondence between the equivalence class of M(0), and the the equivalence class of ''extended positive continuous additive functional'' (PCAF(e) in abbreviation), extending the results of J. Baxter - G. Dal. Maso - U. Mosco [4] and K.T. Sturm [33] [34].
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页码:575 / 605
页数:31
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