Email this article Uniqueness theorem for multiple Franklin series
- Authors: Gevorkyan G.G.1
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Affiliations:
- Yerevan State University
- Issue: Vol 101, No 1-2 (2017)
- Pages: 219-229
- Section: Volume 101, Number 2, February, 2017
- URL: https://journals.rcsi.science/0001-4346/article/view/149982
- DOI: https://doi.org/10.1134/S0001434617010266
- ID: 149982
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Abstract
The paper presents the proof of the uniqueness theorem formultiple series in the Franklin systemthat converge inmeasure and whosemajorant of cubic partial sums with numbers 2ν satisfies a certain necessary condition. This result is new in the one-dimensional case as well.
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About the authors
G. G. Gevorkyan
Yerevan State University
Author for correspondence.
Email: ggg@ysu.am
Armenia, Yerevan
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