Some classes of functions and Fourier coefficients with respect to general orthonormal systems

DOI10.1134/S0081543813010100zbMath1293.42029MaRDI QIDQ2446178

Vakhtang Tsagareishvili, L. D. Gogoladze

Publication date: 16 April 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Fourier coefficientsMen'shov-Rademacher theoremgeneral orthonormal systemclass \(\mathrm{Lip}\,1\)

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Uniqueness and localization for orthogonal series (42C25)

Related Items (9)

Unconditional convergence of Fourier series for functions of bounded variation ⋮ Convergence of Fourier series with respect to general orthonormal systems ⋮ On the issue of convergence and summability of general Fourier series ⋮ Unconditional convergence of general Fourier series ⋮ Convergence of general Fourier series of differentiable functions ⋮ Some problems of convergence of general Fourier series ⋮ Convergence of the Fourier series of Lip 1 functions with respect to general orthonormal systems ⋮ General Fourier coefficients and convergence almost everywhere ⋮ General Fourier coefficients and problems of summability almost everywhere

Cites Work

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• Functional conditions for the convergence of Fourier series with respect to general orthonormal systems
• On the Walsh Functions
• Sur la divergence des séries orthogonales

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