no. 1
On Veech's conjecture for harmonic functions
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 22 (1995) no. 1, pp. 137-153. 
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     title = {On {Veech's} conjecture for harmonic functions},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {137--153},
     publisher = {Scuola normale superiore},
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     year = {1995},
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Hansen, W.; Nadirashvili, N. On Veech's conjecture for harmonic functions. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 22 (1995) no. 1, pp. 137-153. http://www.numdam.org/item/ASNSP_1995_4_22_1_137_0/

[Ba1] J.R. Baxter, Restricted mean values and harmonic functions. Trans. Amer. Math. Soc. 167 (1972), 451-463. | MR | Zbl

[Ba2] J.R. Baxter, Harmonic functions and mass cancellation. Trans. Amer. Math. Soc. 245 (1978), 375-384. | MR | Zbl

[CV] A. Cornea - J. Veselý, Martin compactification for discrete potential theory. Potential Analysis, (to appear). | Zbl

[DM] C. Dellacherie - P.A. Meyer, Probabilités et potentiel, Théorie discrète du potentiel. Hermann, Paris, 1983. | MR

[HN1] W. Hansen - N. Nadirashvili, A converse to the mean value theorem for harmonic functions. Acta Math. 171 (1993), 139-163. | MR | Zbl

[HN2] W. Hansen - N. Nadirashvili, Mean values and harmonic functions. Math. Ann. 297 (1993), 157-170. | MR | Zbl

[HN3] W. Hansen - N. Nadirashvili, Littlewood's one circle problem. J. London Math. Soc. (2), (to appear). | MR | Zbl

[HN4] W. Hansen - N. Nadirashvili, Liouville's theorem and the restricted mean value property. J. Math. Pures Appl., (to appear). | Zbl

[HN5] W. Hansen - N. Nadirashvili, On the restricted mean value property for measurable functions. In: "Classical and Modern Potential Theory and Applications", NATO ASI series (K. GowriSankaran et al. eds.), 267-271. Kluwer 1994. | MR | Zbl

[Hu] F. Huckemann, On the 'one circle' problem for harmonic functions. J. London Math. Soc. (2) 29 (1954), 491-497. | MR | Zbl

[NV] I. Netuka - J. Veselý, Mean value property and harmonic functions. In: "Classical and Modem Potential Theory and Applications ", NATO ASI series (K. GowriSankaran, M. Goldstein eds.), 359-398. | MR | Zbl

[Re] D. Revuz, Markov chains. North Holland Math. Library 11, 1975. | MR | Zbl

[Ve1] W.A. Veech, A converse to Gauss' theorem. Bull. Amer. Math. Soc. 78 (1971), 444-446. | MR | Zbl

[Ve2] W.A. Veech, A zero-one law for a class of random walks and a converse to Gauss' mean value theorem. Ann. of Math. (2) 97 (1973), 189-216. | MR | Zbl

[Ve3] W.A. Veech, A converse to the mean value theorem for harmonic functions. Amer. J. Math. 97 (1975), 1007-1027. | MR | Zbl