On summability of \(N\)-fold Fourier integrals corresponding to pseudodifferential operators

DOI10.1007/S11868-010-0017-YzbMath1213.42017OpenAlexW2050121787WikidataQ59349625 ScholiaQ59349625MaRDI QIDQ619640

Ravshan Ashurov, Anvarjon Akhmedov

Publication date: 25 January 2011

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-010-0017-y

zbMATH Keywords

pseudodifferential operatorsNikolskij spacesnonspherical Riesz summabilityspectral expansions

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Summability in several variables (42B08) Fourier integral operators applied to PDEs (35S30)

Cites Work

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• Expansion of continuous functions from Sobolev classes in eigenfunctions of the Laplace operator
• Pointwise Fourier inversion: A wave equation approach
• On the Pinsky phenomenon

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