Regular points and Green functions in Markov processes

Mamoru KANDA

doi:10.2969/jmsj/01910046

Mamoru KANDA

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ジャーナルフリー

1967 年 19 巻 1 号 p. 46-69

DOI https://doi.org/10.2969/jmsj/01910046

詳細

Published: 1967 Received: 1966/08/19 Available on J-STAGE: 2006/09/26 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/09/26 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Right : [1] P. Courrége and P. Priouret, Axiomatique du probleme de Dirichlet et proccessus de Markov, Séminaire Brelot-Choquet-Deny (theorie du potentiel) (1963-1944).
[2] E. B. Dynkin, Markov processes, Springer-Verlag, 1964.
[3] D. Girbarg and J. Serrin, On isolated singularities of solutions of second order elliptic differential equations, J. Analyse Math., 4 (1954-1955), 309-340.
[4] R. M. Hervé, Recherches axiomatique sur la théorie des fonctions surharmoniques et du potentiel, Ann. Inst. Fourier (Grenoble), 12 (1962), 415-571.
[5] G. Hunt, Markoff processes and potentials, Illinois J. Math., 2 (1958), 151-213.
[6] A. M. Il'in, A. S. Kalashnikov and O. A. Oleinik, Second order linear equations of parabolic type, Uspehi Mat. Nauk, 17 (3) (1962), 3-146.
[7] K. Ito and H. P. Mckean, Jr., Diffusion processes and their sample paths, Springer-Verlag, 1965.
[8] H. Kunita and H. Nomoto, Methods of compactification in the theory of Markov processes, Seminar on probability, 14 (1962), (Japanese).
[9] J. Lamperti, Wiener's test and Markov chains, J. Math. Anal. Appl., 6 (1963), 58-66.
[10] G. Lion, Théorème de représentation d'un noyau par l'intégrale d'un semi-group, Seminaire Brelot-Choquet-Deny (theorie du potentiel) (1962).
[11] W. Littman, Generalized subharmonic functions: monotonic approximations and an improved maximum principle, Ann. Scuola Norm. Sup. Pisa, 18 (1964), 207-220.
[12] W. Littman, G. Stampacchia and H. F. Weinberger, Regular points for elliptic equations with discontinuous coefficients, Ann. Scuola Norm. Sup. Pisa, 17 (1963), 43-76.
[13] D. B. Ray, Resolvents, transition function, and strongly Markovian processes, Ann. of Math., 70 (1959), 43-72.
[14] M. G. Schur, Harmonic and superharmonic functions connected with diffusion processes, Sibirsk. Mat. Z., 1 (1960), 277-296.
[15] M. G. Schur, Martin boundary for linear elliptic operators of second order, Izv. Akad. Nauk SSSR. Ser. Mat., 27 (1963), 45-60.
[16] G. Stampacchia, Contributi alla regolarizzazione della soluzioni dei problemi al contorno per equazioni del second ordine ellittiche, Ann. Scuola. Norm. Sup. Pisa, 12 (1958), 223-245.
[17] H. Tanaka, Existence of diffusions with continuous coefficients, Mem. Fac. Sci. Kyushu Univ. Ser. A, 18 (1964), 89-103.
[18] S. Watanabe, J. Takeuchi and T. Yamada, Stable process, Seminar on probability, 13 (1962), (Japanese).

訂正日: 2006/09/26 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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