Decomposition of dyadic measures and unions of closed $ \mathscr{U}$-sets for series in a Haar system

DOI10.1070/SM8492zbMath1351.42040OpenAlexW2563784479MaRDI QIDQ2817573

M. G. Plotnikov, Yuliya Aleksandrovna Plotnikova

Publication date: 1 September 2016

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm8492

zbMATH Keywords

Borel measurequasi-measuremultiple Haar series\(\mathcal U\)-setdyadic product group

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Uniqueness and localization for orthogonal series (42C25)

Related Items (4)

Uniqueness of series by general Franklin system with convergent subsequence of partial sums ⋮ Uniqueness theorems for one-dimensional and double Franklin series ⋮ On uniqueness of series by Haar system ⋮ Uniqueness theorems for multiple Franklin series converging over rectangles

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