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Fourier coefficients of continuous functions and a class of multipliers

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Publication:1085367
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DOI10.5802/aif.1138zbMath0607.42004OpenAlexW2333873663MaRDI QIDQ1085367

Sergei V.Kislyakov

Publication date: 1988

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1988__38_2_147_0


zbMATH Keywords

multiplierinterpolation inequality\(L^1\)-regularity properties


Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Multipliers in one variable harmonic analysis (42A45)


Related Items

On the coefficient problem: A version of the Kahane-Katznelson-De Leeuw theorem for spaces of matrices ⋮ Double singular integrals: Interpolation and correction ⋮ On uniformly convergent double Fourier series



Cites Work

  • Littlewood-Paley decompositions and Fourier multipliers with singularities on certain sets
  • Einige Sätze und Fragestellungen über Fourier-Koeffizienten
  • Maximal inequalities of weak type
  • Bilinear Forms on H ∞ and Bounded Bianalytic Functions
  • Extensions of Hardy spaces and their use in analysis
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