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Analogue of Men'shov's theorem on correction for discrete orthonormal systems

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Publication:1812795
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DOI10.1007/BF01158630zbMath0736.42006OpenAlexW2075598654MaRDI QIDQ1812795

Boris S. Kashin

Publication date: 25 June 1992

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01158630


zbMATH Keywords

orthonormal basisFourier seriesbasespartial sumsorthonormal systemMen'shov's theorem


Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Convergence and absolute convergence of Fourier and trigonometric series (42A20)


Related Items (3)

On the complexity of the family of convex sets in \(\mathbb{R}^d\) ⋮ Remarks on the uniform and absolute convergence of orthogonal series ⋮ Menshov type correction theorems for sequences of compact operators



Cites Work

  • Correction of step functions and summation of their Fourier series by the Cesàro methods of negative order
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