Countably multiple null series

DOI10.1134/S0081543813010215zbMath1301.42013MaRDI QIDQ2446189

Natalia Kholshchevnikova

Publication date: 16 April 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

uniquenessrectangular partial sumsM-setscountably multiple seriesu-convergenceU-sets

Mathematics Subject Classification ID

Harmonic analysis in several variables (42B99) Fourier series and coefficients in several variables (42B05) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32) Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization (42A63)

Related Items (1)

Certain approximation problems for functions on the infinite-dimensional torus: Lipschitz spaces

Cites Work

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• Some generalizations of uniqueness theorems for series in Walsh systems
• The theory of integration in a space of an infinite number of dimensions
• Some problems in the theory of multiple trigonometric series
• On the problem of reconstructing the coefficients of convergent multiple function series
• Convergence, Uniqueness, and Summability of Multiple Trigonometric Series

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