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Øksendal, Bernt; Stroock, Daniel W.

A characterization of harmonic measure and Markov processes whose hitting distributions are preserved by rotations, translations and dilatations. (English) Zbl 0489.60078

Ann. Inst. Fourier 32, No. 4, 221-232 (1982).
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Cited in 3 Documents

MSC:

60J45 Probabilistic potential theory
60J65 Brownian motion

Keywords:

spherical sweepings of measures; harmonic functions
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\textit{B. Øksendal} and \textit{D. W. Stroock}, Ann. Inst. Fourier 32, No. 4, 221--232 (1982; Zbl 0489.60078)
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References:

[1] [1] , Harmonic functions and mass cancellation, Trans. Amer. Math. Soc., 245 (1978), 375-384. · Zbl 0391.60065
[2] [2] , and , Brownian motion and generalized analytic and inner functions, Ann. Inst. Fourier, 29, 1 (1979), 207-228. · Zbl 0386.30029
[3] [3] , and , Jr., Markov processes with identical hitting distributions, Illinois Journal of Math., 6 (1962), 402-420. · Zbl 0133.40903
[4] [4] , and , Jr., A supplement to “Markov processes with identical hitting distributions”, Illinois Journal of Math., 7 (1963), 540-542. · Zbl 0211.48602
[5] [7] and , Linear algebraic groups in infinite dimensions, Illinois Journal of Maths., 21 (1977 · Zbl 0385.22011
[6] [6] , Functions possessing restricted mean value properties, Proc. Amer. Math. Soc., 41 (1973), 588-595. · Zbl 0251.31004
[7] [7] , Converses of Gauss’ theorem on the arithmetic mean, Trans. Amer. Math. Soc., 36 (1934), 227-242. · Zbl 0009.11205
[8] H. P. MCKEAN, Jr., Stochastic Integrals, Academic Press, 1969.0191.4660340 #947 · Zbl 0191.46603
[9] S. C. PORT and C. J. STONE, Brownian Motion and Classical Potential Theory, Academic Press, 1968. · Zbl 0413.60067
[10] M. RAO, Brownian Motion and Classical Potential Theory, Lecture Notes Series No 47, Aarhus Universitet, 1977.0345.3100155 #13589 · Zbl 0345.31001
[11] W. A. VEECH, A zero-one law for a class of random walks and a converse to Gauss’ mean value theorem, Annals of Math., 97 (1973), 189-216.0282.6004846 #9370 · Zbl 0282.60048
[12] W. A. VEECH, A converse to the mean value theorem for harmonic functions, Amer. J. Math., 97 (1975), 1007-1027.0324.3100252 #14330 · Zbl 0324.31002
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