The Kahane theorem for nonspherical partial sums of Fourier integrals

DOI10.1016/J.CRMA.2010.07.029zbMath1203.42014OpenAlexW2022953171MaRDI QIDQ609380

Almaz Butaev, Ravshan Ashurov

Publication date: 30 November 2010

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.07.029

zbMATH Keywords

convergencedivergenceFourier integralsnonspherical summation

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Cites Work

• 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
• The problem of the pointwise Fourier inversion for piecewise smooth functions of several variables
• On the Pinsky phenomenon
• Dependence of the convergence domain of spectral expansions on the geometry of the set of discontinuity of the function being expanded
• Fourier Inversion for Piecewise Smooth Functions in Several Variables
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