On the Problem of Convergence of Double Functional Series to

The problem, posed by N.N. Luzin in 1915, on the convergence of trigonometric series to on the set of positive measure, was solved by S.V. Konyagin in 1988. There naturally arises the question of N.N. Luzin for double trigonometric series. In the present paper the theorem is proved which contains th...

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Bibliographic Details
Published in:Journal of contemporary mathematical analysis 2021, Vol.56 (1), p.23-29
Main Author: Gogoladze, L.
Format: Article
Language:English
Subjects:
Convergence
Mathematics
Mathematics and Statistics
Online Access:Get full text
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Summary:The problem, posed by N.N. Luzin in 1915, on the convergence of trigonometric series to on the set of positive measure, was solved by S.V. Konyagin in 1988. There naturally arises the question of N.N. Luzin for double trigonometric series. In the present paper the theorem is proved which contains the answer to this problem.
ISSN:1068-3623
1934-9416
DOI:10.3103/S1068362321010039