On the Convergence of Block Fourier Series of Functions of Bounded Variation in Two Variables
- Autores: Telyakovskii S.A.1,2
-
Afiliações:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Lomonosov Moscow State University
- Edição: Volume 103, Nº 3-4 (2018)
- Páginas: 645-648
- Seção: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150796
- DOI: https://doi.org/10.1134/S000143461803032X
- ID: 150796
Citar
Resumo
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.
Sobre autores
S. Telyakovskii
Steklov Mathematical Institute of Russian Academy of Sciences; Lomonosov Moscow State University
Autor responsável pela correspondência
Email: satel@mi.ras.ru
Rússia, Moscow; Moscow
Arquivos suplementares
