Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
Veselý, Jiří. Restricted mean value property in axiomatic potential theory. Commentationes Mathematicae Universitatis Carolinae, Tome 23 (1982) no. 4, pp. 613-628. http://geodesic.mathdoc.fr/item/CMUC_1982_23_4_a0/
@article{CMUC_1982_23_4_a0,
author = {Vesel\'y, Ji\v{r}{\'\i}},
title = {Restricted mean value property in axiomatic potential theory},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {613--628},
year = {1982},
volume = {23},
number = {4},
mrnumber = {687558},
zbl = {0513.31009},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1982_23_4_a0/}
}
[1] ASH R. B.: Measure, Integration and Functional Analysis. Academic Press, New York and London 1972. | MR | Zbl
[2] BAUER H.: Harmonische Räume und ihre Potentialtheorie. Springer Verlag, Berlin 1966. | MR | Zbl
[3] CONSTANTINESCU C., CORNE A.: Potential Theory on Harmonic Spaces. Springer Verlag, New York 1972. | MR
[4] FENTON P. C.: On sufficient conditions for harmonicity. Trans. Amer. Math, Soc. 253 (1979), 139-147. | MR | Zbl
[5] HEATH D.: Functions possessing restricted mean value properties. Proc. Amer. Math. Soc 41 (1973), 588-595. | MR | Zbl
[6] KELLOG O. D.: Converses of Gauss's theorem on the arithmetic mean. Trans. Amer. Math. Soc. 36 (1934), 227-242. | MR
[7] LEBESGUE H.: Sur le problème de Dirichlet. C. R. Acad. Sci. Paris 154 (1912), 335-337.
[8] LEBESGUE H.: Sur le théorème de la moyenne de Gauss. Bull. Soc. Math, France 40 (1912), 16-17.
[9] NETUKA I.: Harmonic functions and the mean value theorems. (in Czech), Čas. pěst. mat. 100 (1975), 391-409. | MR
[10] NETUKA I.: L'unicité du problème de Dirichlet généralisé pour un compact. in; Séminaire de Théorie du Potentiel Paris, No. 6, Lecture Notes in Mathematics 906, Springer Verlag, Berlin 1982, 269-281. | MR | Zbl
[11] ØKSENDAL B., STROOCK D. W.: A characterization of harmonic measure and Markov processes whose hitting distributions are preserved by rotations. translations and dilatations (preprint).
[12] VEECH W. A.: A converse to the mean value theorem for harmonic functions. Amer. J. Math. 97 (1976), 1007-1027. | MR | Zbl
[13] VESELÝ J.: Sequence solutions of the Dirichlet problem. Čas. pěst. mat. 106 (1981), 84-93. | MR