On the Pinsky phenomenon

DOI10.1007/s00041-010-9124-7zbMath1207.42007OpenAlexW2087254160MaRDI QIDQ1958527

Ravshan Ashurov, Almaz Butaev

Publication date: 4 October 2010

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-010-9124-7

zbMATH Keywords

several variablessummability of trigonometric series

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Summability in several variables (42B08)

Related Items (5)

The Kahane theorem for nonspherical partial sums of Fourier integrals ⋮ On summability of \(N\)-fold Fourier integrals corresponding to pseudodifferential operators ⋮ On the smoothness of a function at the convergence point of its spectral expansion associated with B-elliptic operators ⋮ On the smoothness of mean values of functions with summable spectral expansion ⋮ Generalized localization for spherical partial sums of multiple Fourier series

Cites Work

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• Pointwise Fourier inversion: A wave equation approach
• On the eigenfunction expansion of a piecewise smooth function.
• Sets of uniform convergence of Fourier expansions of piecewise smooth functions
• Localization and convergence of eigenfunction expansions
• Pointwise Fourier inversion on tori and other compact manifolds
• Fourier Inversion for Piecewise Smooth Functions in Several Variables
• THE GIBBS PHENOMENON, THE PINSKY PHENOMENON, AND VARIANTS FOR EIGENFUNCTION EXPANSIONS
• Eigenfunction expansions and the Pinsky phenomenon on compact manifolds

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