References
G. Choquet and J. Deny. ‘Sur l’équation de convolution \( \mu =\mu *\sigma \).’’ C. R. Acad. Sc. Paris, 250(1960), 779–801.
C. Chu and T. Hilberdink. ‘‘The convolution equation of Choquet and Deny on nilpotent groups.’’ Integr. Equat. Oper. Th., 26(1996), 1–13.
Contests in Higher Mathematics, 1949–1961. Akadémiai Kiadó, Budapest, 1968.
J. Deny. ‘‘Sur l’équation de convolution \( \mu =\mu *\sigma \).’’ Sémin. Théor. Potentiel de M. Brelot, Paris, 1960.
J. L. Doob, Classical potential theory and its probabilistic counterpart, Grundlehren der Mathematischen Wissenschaften. 262, Springer-Verlag, New York, 1984.
P. G. Doyle and J. L. Snell. Random walks and electric networks, Carus Mathematical Monographs, 22. Mathematical Association of America, Washington, DC, 1984.
P. Halmos. ‘‘The heart of mathematics.’’ Amer. Math. Monthly, 87(1980), 519–524.
S. Kakutani. ‘‘Two-dimensional Brownian motion and harmonic functions.’’ Proc. Imp. Acad., 20(1944), 706–714.
S. C. Port and C. J. Stone. Brownian motion and classical potential theory, Probability and Mathematical Statistics. Academic Press, New York-London, 1978.
T. Ransford. Potential Theory in the Complex Plane. Cambridge University Press, Cambridge, 1995.
G. Székely (editor). Contests in Higher Mathematics. Problem Books in Mathematics, Springer Verlag, New York, 1995.
N. Wiener. ‘‘Differential space.’’ Journal of Mathematical Physics, 2(1923) 131–174.
L. Zalcman. ‘‘Offbeat integral geometry.’’ Amer. Math. Monthly, 87(1980), 161–175.
L. Zalcman. ‘‘A Bibliographic Survey of the Pompeiu Problem,’’ Approximation by Solutions of Partial Differential Equations (Hanstholm, 1991). NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 365, Kluwer Acad. Publ., Dordrecht, 1992, 185–194.
L. Zalcman. Supplementary bibliography to: “A bibliographic survey of the Pompeiu problem’’ [in Approximation by solutions of partial differential equations (Hanstholm, 1991), 185–194, Kluwer Acad. Publ., Dordrecht, 1992], Radon transforms and tomography (South Hadley, MA, 2000). Contemp. Math., 278, Amer. Math. Soc., Providence, RI, 2001, 69–74.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Totik, V. The Mean-Value Property. Math Intelligencer 37, 9–16 (2015). https://doi.org/10.1007/s00283-014-9501-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00283-014-9501-1