Geodesic
Uniqueness theorems for simple trigonometric series with application to multiple series
Sbornik. Mathematics, Tome 212 (2021) no. 12, pp. 1675-1693

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

For simple trigonometric series it is shown, in particular, that if the trigonometric series is Riemann summable in measure to an integrable function $f$ and if the Riemann majorant is finite everywhere except possibly on a countable set, then this series is the Fourier series of the function $f$. Uniqueness theorems for multiple trigonometric series are obtained on the basis of this result. Bibliography: 14 titles.
Keywords: trigonometric system, Riemann summation method, uniqueness theorem. 
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     author = {G. G. Gevorkyan},
     title = {Uniqueness theorems for simple trigonometric series with application to multiple series},
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G. G. Gevorkyan. Uniqueness theorems for simple trigonometric series with application to multiple series. Sbornik. Mathematics, Tome 212 (2021) no. 12, pp. 1675-1693. http://geodesic.mathdoc.fr/item/SM_2021_212_12_a1/