On the issue of convergence and summability of general Fourier series

DOI10.3103/s1068362323040039MaRDI QIDQ6060289

L. D. Gogoladze, G. Tsagareishvili

Publication date: 3 November 2023

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

zbMATH Keywords

convergenceFourier seriesFourier coefficientsorthonormal systemunconditional convergence

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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• Multipliers of absolute convergence
• Some classes of functions and Fourier coefficients with respect to general orthonormal systems
• Integrated orthonormal series
• Summability of general orthonormal Fourier series
• General Fourier coefficients and convergence almost everywhere
• General Fourier coefficients and problems of summability almost everywhere
• Orthogonal series in a complete system
• ABSOLUTE CONVERGENCE OF FOURIER SERIES WITH RESPECT TO COMPLETE ORTHONORMAL SYSTEMS