Negligible sets and good functions on polydiscs
Annales de l'Institut Fourier, Tome 29 (1979) no. 2, pp. 211-222.

On introduit une notion d’ensemble négligeable dans un polydisque. On démontre l’existence de “bonnes” mesures sur un ensemble non-négligeable. On l’utilise pour construire des fonctions holomorphes “good” et “good inner” dans un polydisque.

A notion of negligible sets for polydiscs is introduced. Some properties of non-negligible sets are proved. These results are used to construct good and good inner functions on polydiscs.

@article{AIF_1979__29_2_211_0,
     author = {Gowrisankaran, Kohur},
     title = {Negligible sets and good functions on polydiscs},
     journal = {Annales de l'Institut Fourier},
     publisher = {Imprimerie Durand},
     address = {28 - Luisant},
     volume = {29},
     number = {2},
     year = {1979},
     pages = {211-222},
     doi = {10.5802/aif.747},
     zbl = {0412.31004},
     mrnumber = {81a:32013},
     language = {en},
     url = {aif.centre-mersenne.org/item/AIF_1979__29_2_211_0/}
}
Gowrisankaran, Kohur. Negligible sets and good functions on polydiscs. Annales de l'Institut Fourier, Tome 29 (1979) no. 2, pp. 211-222. doi : 10.5802/aif.747. https://aif.centre-mersenne.org/item/AIF_1979__29_2_211_0/

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