General Fourier coefficients and convergence almost everywhere

DOI10.1070/IM8985zbMath1464.42002MaRDI QIDQ4989076

G. Cagareishvili, L. D. Gogoladze

Publication date: 20 May 2021

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

zbMATH Keywords

Banach spaceFourier coefficientsfunctions of bounded variationorthonormal system

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (3)

On the issue of convergence and summability of general Fourier series ⋮ Optimal convergence factors for general Fourier coefficients ⋮ Unconditional convergence of general Fourier series

Cites Work

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• Unconditional convergence of Fourier series for functions of bounded variation
• Convergence of the Fourier series of Lip 1 functions with respect to general orthonormal systems
• Fourier coefficients of continuous functions
• Some classes of functions and Fourier coefficients with respect to general orthonormal systems
• Summability of general Fourier series
• On the Walsh Functions

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