On the Convergence of Block Fourier Series of Functions of Bounded Variation in Two Variables
- Авторлар: Telyakovskii S.A.1,2
-
Мекемелер:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Lomonosov Moscow State University
- Шығарылым: Том 103, № 3-4 (2018)
- Беттер: 645-648
- Бөлім: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150796
- DOI: https://doi.org/10.1134/S000143461803032X
- ID: 150796
Дәйексөз келтіру
Аннотация
We present a necessary and sufficient condition for the series of absolute values of blocks of Fourier series elements and blocks of series of summands in Parseval’s identity to converge in the class of two-variable functions of bounded variation in the sense of Hardy.
Авторлар туралы
S. Telyakovskii
Steklov Mathematical Institute of Russian Academy of Sciences; Lomonosov Moscow State University
Хат алмасуға жауапты Автор.
Email: satel@mi.ras.ru
Ресей, Moscow; Moscow
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