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The sweeping-out of additive functionals and processes and the boundary. (English) Zbl 0138.11402


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[1] E. B. Dynkin, ”Intrinsic topology and excessive functions connected with Markov process,”Doklady, Academii Nauk, U.S.S.R., 127 (1959), 17–19 (in Russian). · Zbl 0168.38701
[2] E. B. Dynkin,Markov Processes, Moscow, 1963 (in Russian).
[3] G. A. Hunt, ”Markov processes and potentials I,”Illinois Jour. Math., 1 (1957), 44–93. · Zbl 0100.13804
[4] G. A. Hunt, ”Markov processes and potentials III,”Illinois Jour. Math., 2 (1958), 151–213.
[5] N. Ikeda, T. Ueno, H. Tanaka and K. Sato, ”Boundary problems of multidimensional diffusions II,”Seminar on Probability, 5 (1960) (in Japanese).
[6] P. A. Meyer,”Fonctionnelles multiplicatives et additives de Markov,”Ann. Inst. Fourier,12 (1962), 125–230. · Zbl 0138.40802
[7] M. Motoo, ”Representation of a certain class of excessive functions and a generator of Markov process,”Scientific Papers of Coll. of General Education (Univ. of Tokyo), 12 (1962), 143–159. · Zbl 0109.11701
[8] M. Motoo, ”The Lévy measure of U-process,” to appear.
[9] |T. Ueno, ”The diffusion satisfying Wentzell’s boundary conditions and the Markov process on the boundary,”Proc. Japan Acad., 36 (1960), 533–538. · Zbl 0100.13801
[10] V. A. Volkonskii, ”Additive functionals of Markov processes,”Trudy Moskov. Mat. Obšč., 9 (1959), 143–189 (in Russian).
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