ON CONVERGENCE OF FOURIER SERIES IN COMPLETE ORTHONORMAL SYSTEMS IN THE $ L^1$-METRIC AND ALMOST EVERYWHERE

DOI10.1070/SM1991V070N02ABEH002124zbMath0735.42020OpenAlexW1974677347MaRDI QIDQ4713203

Martin G. Grigoryan

Publication date: 25 June 1992

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1991v070n02abeh002124

zbMATH Keywords

Fourier expansioncomplete orthonormal systemconvergence almost everywhere

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)

Related Items (4)

On the L1-convergence and behavior of coefficients of Fourier-Vilenkin series ⋮ On the absolute convergence of Fourier-Haar series in the metric of \(L^p(0, 1)\), \(0 < p < 1\) ⋮ Menshov type correction theorems for sequences of compact operators ⋮ On Fourier series that are universal modulo signs

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