Determination of jumps in terms of Abel-Poisson means

zbMath1026.42004MaRDI QIDQ1410055

Ferenc Móricz

Publication date: 14 October 2003

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

zbMATH Keywords

atomconjugate seriesFourier seriesfinite Borel measureAbel-Poisson meanjump of a function

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 (11)

An affirmative result of the open question on determining function jumps by spline wavelets ⋮ Determination of jumps in terms of linear operators ⋮ Applications of conjugate operators to determination of jumps for functions ⋮ On some properties of double conjugate trigonometric Fourier series ⋮ Concentration factors for functions with harmonic bounded mean variation ⋮ On the jump behavior of distributions and logarithmic averages ⋮ More on determination of jumps ⋮ Determination of jumps in terms of derivative convolution operators ⋮ On the order of summability of the Fourier inversion formula ⋮ Determination of jumps via advanced concentration factors ⋮ Determination of jumps of distributions by differentiated means

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