A Condition for Convergence in Mean of Trigonometric Series
Matematičeskie zametki, Tome 69 (2001) no. 3, pp. 323-328.

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We construct an example of a trigonometric series showing that a certain condition closely related to convergence in mean of trigonometric series cannot be sharpened.
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A. S. Belov. A Condition for Convergence in Mean of Trigonometric Series. Matematičeskie zametki, Tome 69 (2001) no. 3, pp. 323-328. http://geodesic.mathdoc.fr/item/MZM_2001_69_3_a0/

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