On generalized localization of Fourier inversion associated with an elliptic operator for distributions

DOI10.1155/2012/649848zbMath1250.42034OpenAlexW1974871645WikidataQ57598386 ScholiaQ57598386MaRDI QIDQ448763

Ravshan Ashurov, Biswajeet Pradhan, Almaz Butaev

Publication date: 7 September 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/649848

Mathematics Subject Classification ID

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

Related Items (2)

Generalized localization and summability almost everywhere of multiple Fourier series and integrals ⋮ Generalized localization principle for continuous wavelet decompositions

Cites Work

• Almost-everywhere convergence of Fourier integrals for functions in Sobolev spaces, and an \(L^ 2\)-localisation principle
• The generalized localization for multiple Fourier integrals
• Regularity and integrability of spherical means
• Generalized localization of Fourier series with respect to the eigenfunctions of the Laplace operator in the classes \(L_ p\)
• Pointwise Fourier inversion and localisation in \(\mathbb{R}^n\)
• Fourier inversion of distributions supported by a hypersurface
• Distributional point values and convergence of Fourier series and integrals
• On the order of summability of the Fourier inversion formula
• On the support of tempered distributions
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