Order of magnitude of multiple Fourier coefficients of functions of bounded variation

DOI10.1023/B:AMHU.0000034364.78876.AFzbMath1067.42006MaRDI QIDQ558255

V. Fülöp, Ferenc Móricz

Publication date: 5 July 2005

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

bounded variation in the sense of Vitali and of Hardymultiple Fourier coefficients

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (11)

Functions of generalized bounded variation and its multiple fourier coefficients ⋮ Functions of (ϕ,ψ)-bounded variation and its double Walsh-Fourier coefficients ⋮ On the order of magnitude of the double Fourier transform ⋮ A new estimate of double Fourier coefficients for functions of bounded generalized variation ⋮ Properties of Functions of Generalized Bounded Variations ⋮ A note on multiple rational Fourier series ⋮ The double Fourier transform of non-Lebesgue integrable functions of bounded Hardy-Krause variation ⋮ Order of magnitude of multiple Fourier coefficients of functions of bounded \(p\)-variation ⋮ On the order of magnitude of Walsh-Fourier transform ⋮ On the absolute convergence of multiple Fourier series ⋮ Order of magnitude of multiple Walsh-Fourier coefficients of functions of bounded \(\phi\)-variation

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