Menshov-type theorem for divergence sets of sequences of localized operators

DOI10.3103/s106836232302005xzbMath1527.42041OpenAlexW4368374809WikidataQ122241266 ScholiaQ122241266MaRDI QIDQ6060252

Anna Kamont, Martin G. Grigoryan, Artavazd A. Maranjyan

Publication date: 3 November 2023

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

Full work available at URL: https://doi.org/10.3103/s106836232302005x

zbMATH Keywords

convergencedivergence setorthonormal spline systemsFourier series in classical systems

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Summability and absolute summability of Fourier and trigonometric series (42A24)

Cites Work

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• On convergence properties of tensor products of some operator sequences
• On complete characterization of divergence sets of Fourier-Haar series
• On the divergence of Walsh-Fejér means of bounded functions on sets of measure zero
• Divergence of Fourier-Haar series of bounded functions on sets of measure zero
• On the divergence of spherical sums of double Fourier-Haar series
• Orthogonal projectors onto spaces of periodic splines
• On the \(L_\infty\)-norm of the orthogonal projector onto splines. A short proof of A. Shadrin's theorem
• Unbounded divergence of Fourier series of continuous functions
• On almost everywhere convergence of orthogonal spline projections with arbitrary knots
• 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
• TRIGONOMETRIC FOURIER SERIES OF CONTINUOUS FUNCTIONS DIVERGING ON A GIVEN SET
• Unconditionality of general Franklin systems in L^p[0,1, 1<p<∞]
• Unconditionality of orthogonal spline systems in L^p
• Sur les ensembles de divergence des séries trigonométriques
• On the divergence of multiple Fourier series
• Estimates for spline orthonormal functions and for their derivatives
• Construction of an orthonormal basis in $C^{m}(I^{d})$ and $W^{m}_{p}(I^{d})$
• Note on the differentiability of multiple integrals
• On the divergence of multiple Fourier-Haar series
• The \(L_\infty\)-norm of the \(L_2\)-spline projector is bounded independently of the knot sequence: A proof of de Boor's conjecture