Menshov type correction theorems for sequences of compact operators

DOI10.1007/s00365-019-09459-0zbMath1436.42007arXiv1804.04790OpenAlexW2962840637MaRDI QIDQ2309573

Grigori A. Karagulyan

Publication date: 1 April 2020

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.04790

zbMATH Keywords

Walsh systemFourier seriescompact operatorsalmost everywhere convergenceMenshov correction theorems

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Linear operators defined by compactness properties (47B07) Linear operator approximation theory (47A58) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Cites Work

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• On behavior of Fourier coefficients by Walsh system
• Modifications of functions, Fourier coefficients and nonlinear approximation
• ON CONVERGENCE OF FOURIER SERIES IN COMPLETE ORTHONORMAL SYSTEMS IN THE $ L^1$-METRIC AND ALMOST EVERYWHERE
• Some Aspects of Fourier Series

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