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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:

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[2] A. BERNARD, E. A. CAMPBELL and A. M. DAVIE, Brownian motion and generalized analytic and inner functions, Ann. Inst. Fourier, 29, 1 (1979), 207-228. · Zbl 0386.30029
[3] H. M. BLUMENTHAL, R. K. GETOOR and H. P. McKEAN, Jr., Markov processes with identical hitting distributions, Illinois Journal of Math., 6 (1962), 402-420. · Zbl 0133.40903
[4] H. M. BLUMENTHAL, R.K. GETOOR and H. P. MCKEAN, Jr., A supplement to “Markov processes with identical hitting distributions”, Illinois Journal of Math., 7 (1963), 540-542. · Zbl 0211.48602
[5] T. W. GAMELIN and H. ROSSI, Jensen measures, In Birtel (ed.) : Function Algebras, Scott, Foresman and Co. (1966).
[6] D. HEATH, Functions possessing restricted mean value properties, Proc. Amer. Math. Soc., 41 (1973), 588-595. · Zbl 0251.31004
[7] O. D. KELLOGG, 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. · 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. · 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. · Zbl 0282.60048
[12] W. A. VEECH, A converse to the mean value theorem for harmonic functions, Amer. J. Math., 97 (1975), 1007-1027. · Zbl 0324.31002
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.