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Doob, Joseph L.

Conditional Brownian motion and the boundary limits of harmonic functions. (English) Zbl 0097.34004

Bull. Soc. Math. Fr. 85, 431-458 (1957).
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Cited in 1 Review
Cited in 129 Documents

Keywords:

probability theory
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References:

[1] R. BLUMENTHAL , An extended Markov property (Trans. Amer. math. Soc., t. 85, 1957 , p. 52-72). MR 19,468g | Zbl 0084.13602 · Zbl 0084.13602 · doi:10.2307/1992961
[2] M. BRELOT , Le problème de Dirichlet. Axiomatique et frontière de Martin (J. Math. pures et appl., 9e série, t. 35, 1956 , p. 297-335). MR 20 #6607 | Zbl 0071.10001 · Zbl 0071.10001
[3] M. BRELOT et G. CHOQUET , Espaces et lignes de Green (Ann. Inst. Fourier, Grenoble, t. 3, 1951 - 1952 , p. 199-263). Numdam | MR 16,34e | Zbl 0046.32701 · Zbl 0046.32701 · doi:10.5802/aif.38
[4] J. L. DOOB , Semimartingales and subharmonic functions (Trans. Amer. math. Soc., t. 77, 1954 , p. 86-121). MR 16,269a | Zbl 0059.12205 · Zbl 0059.12205 · doi:10.2307/1990680
[5] J. L. DOOB , Probability methods applied to the first boundary value problem [Proc. Third Berkeley Symp. math. Stat. and Prob., t. 2, 1956 , p. 49-80 ( 1955 , Berkeley, Calif.) Berkeley et Los Angeles, University of California Press]. Zbl 0074.09101 · Zbl 0074.09101
[6] J. L. DOOB , Brownian motion on a Green space (Teoriya Veroyatnosti, t. 2, 1957 , p. 3-33). MR 21 #5240 | Zbl 0078.32505 · Zbl 0078.32505
[7] J. L. DOOB , Probability theory and the first boundary value problem (Illinois J. Math. t. 2, 1958 , p. 19-36). Article | MR 21 #5242 | Zbl 0086.08403 · Zbl 0086.08403
[8] J. L. DOOB , Boundary limit theorems for a half-space [J. Math. pures et appl. (to appear)]. Zbl 0097.34101 · Zbl 0097.34101
[9] B. V. GNEDENKO and A. N. KOLMOGOROV , Limit distributions for sums of independent random variables (in russian), Moscow, 1949 , (in translation) Cambridge, Mass, 1954 . Zbl 0056.36001 · Zbl 0056.36001
[10] G. A. HUNT , Markoff processes and potentials I (Illinois J. Math., t. 1, 1957 , p. 44-93). Article | MR 19,951g | Zbl 0100.13804 · Zbl 0100.13804
[11] L. NAÏM , Sur le rôle de la frontière de R. S. Martin dans la théorie du potentiel , Chartres, Durand, 1957 (Thèse Sc. math., Paris, 1957 ). · Zbl 0086.30603 · doi:10.5802/aif.70
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