On the axiomatic of harmonic functions II
Annales de l'Institut Fourier, Volume 13 (1963) no. 2, pp. 389-394.

On démontre dans l’axiomatique de M. Brelot la linéarité de l’opération de balayage appliquée aux fonctions surharmoniques en utilisant seulement les axiomes 1, 2, 3, l’espace de base n’ayant pas nécessairement une base dénombrable.

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Constantinescu, Corneliu; Cornea, A. On the axiomatic of harmonic functions II. Annales de l'Institut Fourier, Volume 13 (1963) no. 2, pp. 389-394. doi : 10.5802/aif.151. http://archive.numdam.org/articles/10.5802/aif.151/

[1] N. Boboc, C. Constantinescu et A. Cornea. On the Dirichlet problem in the axiomatic theory of harmonic functions, Nagoya Math. Journ., 1964, to appear. | Zbl

[2] C. Constantinescu et A. Cornea. On the axiomatic of harmonic functions I. Ann. Inst. Fourier, 1963, 13, 389-394. | Numdam | MR | Zbl

[3] R.-M. Hervé, Recherches axiomatiques sur la théorie des fonctions surharmoniques et du potentiel, Ann. Inst. Fourier, 1962, 12, 415-571. | Numdam | MR | Zbl

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