Concentration factors for functions with harmonic bounded mean variation

DOI10.1007/S10474-007-5298-0zbMath1174.42303OpenAlexW1989015194MaRDI QIDQ2460669

Lan Hu, Xian Liang Shi

Publication date: 12 November 2007

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

Full work available at URL: https://doi.org/10.1007/s10474-007-5298-0

zbMATH Keywords

bounded variationjump

Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Conjugate functions, conjugate series, singular integrals (42A50)

Related Items (7)

An affirmative result of the open question on determining function jumps by spline wavelets ⋮ Determination of jumps for functions via derivative Gabor series ⋮ Pointwise convergence of wavelets of generalized Shannon type ⋮ Applications of conjugate operators to determination of jumps for functions ⋮ Determination of jumps in terms of derivative convolution operators ⋮ Determination of jumps via advanced concentration factors ⋮ Determination of jumps for functions based on Malvar-Coifman-Meyer conjugate wavelets

Cites Work

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• Detection of edges in spectral data
• Determination of the jumps of a bounded function by its Fourier series
• Determination of jumps in terms of Abel-Poisson means
• Determination of jumps in terms of spectral data
• Determination of the jump of a function of bounded \(p\)-variation by its Fourier series
• Ferenc Lukács type theorems in terms of the Abel-Poisson mean of conjugate series
• On convergence of Fourier series of functions of generalized bounded variation

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