Email this article Summation of Fourier Series on the Infinite-Dimensional Torus
- Authors: Fufaev D.V.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 103, No 5-6 (2018)
- Pages: 990-996
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151051
- DOI: https://doi.org/10.1134/S0001434618050358
- ID: 151051
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Abstract
Conditions for the convergence of Fejér means for functions on the infinite-dimensional torus over cubes and rectangles are obtained, and a generalization of these results to the case of products of abstract measure spaces is proposed.
About the authors
D. V. Fufaev
Lomonosov Moscow State University
Author for correspondence.
Email: fufaevdv@rambler.ru
Russian Federation, Moscow
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