On unbounded divergence sets of series in orthonormal bases

DOI10.3103/S1068362312050032zbMath1267.42027MaRDI QIDQ1931623

D. A. Karagulyan

Publication date: 15 January 2013

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

zbMATH Keywords

divergence sets\(G_{\delta}\)-setssystems with localization property

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)

Related Items (1)

On characterization of extremal sets of differentiation of integrals in \(\mathbb{R}^2\)

Cites Work

• Unnamed Item
• On complete characterization of divergence sets of Fourier-Haar series
• Über Konvergenzmengen von Fourierreihen
• Characterization of the sets of divergence for sequences of operators with the localization property
• Divergence of general operators on sets of measure zero

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