On \(U\)- and \(M\)-sets for series with respect to characters of compact zero-dimensional groups

DOI10.1016/J.JMAA.2016.08.062zbMath1435.42024OpenAlexW2516725029MaRDI QIDQ321781

Natalia Kholshchevnikova, Valentin A. Skvortsov

Publication date: 14 October 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.08.062

zbMATH Keywords

\(M\)-set\(U\)-setcategory problemcharacters of a groupcompact zero-dimensional abelian groupHausdorff \(h\)-measure

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Harmonic analysis on specific compact groups (43A75)

Related Items (3)

On the Vilenkin-Chrestenson systems and their rearrangements ⋮ \(\mathcal V\)-sets in the products of zero-dimensional compact abelian groups ⋮ Discrete wavelet transforms in Walsh analysis

Cites Work

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• On M₀-sets for series with respect to characters of compact zero-dimensional
• Kurzweil-Henstock type integral in fourier analysis on compact zero-dimensional group
• Kurzweil-Henstock type integral on zero-dimensional group and some of its applications
• U-Sets in Compact, 0-Dimensional, Metric Groups
• Riesz multiresolution analysis on zero-dimensional groups

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