Email this article λ-Convergence of multiple Walsh–Paley series and sets of uniqueness
- Authors: Plotnikov M.G.1
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Affiliations:
- Vereshchagin Vologda State Milk Industry Academy
- Issue: Vol 102, No 1-2 (2017)
- Pages: 268-276
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150098
- DOI: https://doi.org/10.1134/S0001434617070288
- ID: 150098
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Abstract
λ-convergent multiple Walsh–Paley series on a multidimensional dyadic group are studied. It is proved that, for all λ > 1, any arbitrary finite union of hyperplanes parallel to coordinate hyperplanes is a set of uniqueness for such series.
About the authors
M. G. Plotnikov
Vereshchagin Vologda State Milk Industry Academy
Author for correspondence.
Email: mgplotnikov@gmail.com
Russian Federation, Vologda
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