Email this article On the Convergence of Block Fourier Series of Functions of Bounded Variation in Two Variables
- Authors: Telyakovskii S.A.1,2
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Lomonosov Moscow State University
- Issue: Vol 103, No 3-4 (2018)
- Pages: 645-648
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/150796
- DOI: https://doi.org/10.1134/S000143461803032X
- ID: 150796
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Abstract
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.
About the authors
S. A. Telyakovskii
Steklov Mathematical Institute of Russian Academy of Sciences; Lomonosov Moscow State University
Author for correspondence.
Email: satel@mi.ras.ru
Russian Federation, Moscow; Moscow
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