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On the Attribute of Uniform Convergence of Fourier Series of the Vilenkin System in the Case of Unbounded pkстатья
- Автор: Voronov S.M.
- Журнал: Moscow University Mathematics Bulletin
- Том: 77
- Номер: 5
- Год издания: 2022
- Издательство: Allerton Press Inc.
- Местоположение издательства: United States
- Первая страница: 247
- Последняя страница: 249
- Номер статьи: ISSN 0027-1322
- DOI: 10.3103/S0027132222050084
- Аннотация: Abstract—Series with respect to a system of characters of a zero-dimensional compact commutative group are considered. Generalization of the test of convergence of Fourier series of the Vilenkinsystem in the case of unbounded quasimonotone pk for functions having a generalized bounded Φfluctuation, which was earlier obtained in the case of bounded sequences pk, is proved.DOI: 10.3103/S0027132222050084
- Добавил в систему: Воронов Сергей Мирзоевич