The Fourier-Faber-Schauder series unconditionally divergent in measure

DOI10.1134/S0037446618050087zbMath1410.42005OpenAlexW2900793857WikidataQ128815729 ScholiaQ128815729MaRDI QIDQ1734970

Martin G. Grigoryan, Artsrun Sargsyan

Publication date: 27 March 2019

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446618050087

zbMATH Keywords

uniform convergenceconvergence in measureFaber-Schauder system

Mathematics Subject Classification ID

Other transformations of harmonic type (42C20) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (1)

ON THE UNCONDITIONAL CONVERGENCE OF FABER--SCHAUDER SERIES IN $L^{1}$

Cites Work

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• Unconditional \(C\)-strong property of Faber-Schauder system
• Luzin's correction theorem and the coefficients of Fourier expansions in the Faber-Schauder system
• Series with respect to the Schauder system
• Bases in Banach spaces
• Convergence of Fourier series in classical systems
• Non-linear approximation of continuous functions by the Faber-Schauder system
• REPRESENTATION OF MEASURABLE FUNCTIONS BY SERIES IN THE FABER-SCHAUDER SYSTEM, AND UNIVERSAL SERIES
• REPRESENTATION OF FUNCTIONS BY SERIES AND CLASSES ϕ(L)

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