Geodesic
Uniqueness theorems for Franklin series converging to integrable functions
Sbornik. Mathematics, Tome 209 (2018) no. 6, pp. 802-822

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

The following results are proved: a) if a Franklin series converges everywhere to a finite integrable function, then it is the Fourier-Franklin series of this function; b) if a Franklin series converges to a finite integrable function everywhere except possibly at points in some countable set and if all its coefficients satisfy a certain necessary condition, then it is the Fourier-Franklin series of this function. Bibliography: 16 titles.
Keywords: Franklin system, de la Vallée Poussin theorem, uniqueness theorem. 
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     author = {G. G. Gevorkyan},
     title = {Uniqueness theorems for {Franklin} series converging to integrable functions},
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G. G. Gevorkyan. Uniqueness theorems for Franklin series converging to integrable functions. Sbornik. Mathematics, Tome 209 (2018) no. 6, pp. 802-822. http://geodesic.mathdoc.fr/item/SM_2018_209_6_a1/