Geodesic
On the uniqueness of series in the Franklin system
Sbornik. Mathematics, Tome 207 (2016) no. 12, pp. 1650-1673

Voir la notice de l'article provenant de la source Math-Net.Ru

We prove: a) a uniqueness theorem for everywhere convergent series in the Franklin system; b) a uniqueness theorem for Franklin series that converge in measure, whose least upper bound of the sequence of modules of partial sums is finite everywhere, except possibly on a countable set, and whose coefficients satisfy a certain necessary condition. Bibliography: 16 titles.
Keywords: Franklin system, Cantor's theorem, uniqueness theorem. 
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     author = {G. G. Gevorkyan},
     title = {On the uniqueness of series in the {Franklin} system},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2016_207_12_a1/}
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G. G. Gevorkyan. On the uniqueness of series in the Franklin system. Sbornik. Mathematics, Tome 207 (2016) no. 12, pp. 1650-1673. http://geodesic.mathdoc.fr/item/SM_2016_207_12_a1/