Fatou-Naïm-Doob limit theorems in the axiomatic system of Brelot
Annales de l'Institut Fourier, Volume 16 (1966) no. 2, p. 455-467

On étend les résultats de Fatou-Naïm-Doob sur l’allure à la frontière “fine” des fonctions surharmoniques dans la théorie axiomatique de M. Brelot en utilisant seulement les axiomes 1,2,3, l’espace de base ayant une base dénombrable.

@article{AIF_1966__16_2_455_0,
     author = {Gowrisankaran, Kohur},
     title = {Fatou-Na\"\i m-Doob limit theorems in the axiomatic system of Brelot},
     journal = {Annales de l'Institut Fourier},
     publisher = {Imprimerie Durand},
     address = {28 - Luisant},
     volume = {16},
     number = {2},
     year = {1966},
     pages = {455-467},
     doi = {10.5802/aif.248},
     zbl = {0145.15103},
     mrnumber = {35 \#1802},
     language = {en},
     url = {http://www.numdam.org/item/AIF_1966__16_2_455_0}
}

Gowrisankaran, Kohur. Fatou-Naïm-Doob limit theorems in the axiomatic system of Brelot. Annales de l'Institut Fourier, Volume 16 (1966) no. 2, pp. 455-467. doi : 10.5802/aif.248. http://www.numdam.org/item/AIF_1966__16_2_455_0/

[1] M. Brelot, Lectures on Potential Theory, Tata Institute of Fundamental Research, Bombay, (1960). | MR 22 #9749 | Zbl 0098.06903

[2] K. Gowrisankaran, Ann. Inst. Fourier, t. XIII, Fasc. 2, 307-356. | Numdam | MR 29 #1350 | Zbl 0134.09503

[3] R. M. Hervé, Ann. Inst. Fourier, t. XII (1962), 415-571. | Numdam | MR 25 #3186 | Zbl 0101.08103