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

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].