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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| Veröffentlicht in: | Journal of contemporary mathematical analysis 2021, Vol.56 (1), p.23-29 |
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| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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. |
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| ISSN: | 1068-3623 1934-9416 |
| DOI: | 10.3103/S1068362321010039 |