Determination of jumps of distributions by differentiated means

DOI10.1007/s10474-009-8178-yzbMath1224.40011OpenAlexW2045251870MaRDI QIDQ1046934

Jasson Vindas, Ricardo Estrada

Publication date: 29 December 2009

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

Full work available at URL: https://doi.org/10.1007/s10474-009-8178-y

zbMATH Keywords

summability methodFourier seriesjumpasymptotic behavior of generalized functions

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Convergence and divergence of series and sequences (40A05) Matrix methods for summability (40C05) Inclusion and equivalence theorems in summability theory (40D25) Functional analytic methods in summability (40H05) Summability and absolute summability of Fourier and trigonometric series (42A24) Conjugate functions, conjugate series, singular integrals (42A50) Distributions and ultradistributions as boundary values of analytic functions (46F20)

Related Items (3)

On the point behavior of Fourier series and conjugate series ⋮ Generalized Gibbs phenomenon for Fourier partial sums and de la Vallée-Poussin sums ⋮ On the order of summability of the Fourier inversion formula

Cites Work

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• On the jump behavior of distributions and logarithmic averages
• More on determination of jumps
• On the determination of the jump of a function by its Fourier series
• Regularization of distributions
• 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
• Detecting the singularities of a function of \(V_p\) class by its integrated Fourier series
• Locating discontinuities of a bounded function by the partial sums of its Fourier series
• Distributional boundary values of harmonic and analytic functions
• Convergence of generalized conjugate partial Fourier integrals
• Distributional point values and convergence of Fourier series and integrals
• On determination of jumps in terms of Abel-Poisson mean of Fourier series
• Determination of jumps in terms of spectral data
• Detection of Edges in Spectral Data II. Nonlinear Enhancement
• Sur la valeur et la limite d'une distribution en un point
• Structural theorems for quasiasymptotics of distributions at the origin
• Structural theorems for quasiasymptotics of distributions at infinity
• Ferenc Lukács type theorems in terms of the Abel-Poisson mean of conjugate series
• Distributionally regulated functions
• Fejér type theorems for Fourier-Stieltjes series
• Approximation of the singularities of a bounded function by the partial sums of its differentiated Fourier series

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