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λ-Convergence of multiple Walsh–Paley series and sets of uniqueness

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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.

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  1. Vereshchagin Vologda State Milk Industry Academy, Vologda, Russia

    M. G. Plotnikov

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  1. M. G. Plotnikov
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Correspondence to M. G. Plotnikov.

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Original Russian Text © M. G. Plotnikov, 2017, published in Matematicheskie Zametki, 2017, Vol. 102, No. 2, pp. 292–301.

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Plotnikov, M.G. λ-Convergence of multiple Walsh–Paley series and sets of uniqueness. Math Notes 102, 268–276 (2017). https://doi.org/10.1134/S0001434617070288

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  • DOI: https://doi.org/10.1134/S0001434617070288

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