On the localization of the Riesz means of multiple Fourier series of distributions

DOI10.1155/2011/731249zbMath1237.42005OpenAlexW2091491587WikidataQ58654429 ScholiaQ58654429MaRDI QIDQ657156

Abdumalik Rakhimov

Publication date: 16 January 2012

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

Full work available at URL: https://doi.org/10.1155/2011/731249

zbMATH Keywords

distributionRiesz meansmultiple Fourier serieslocalization

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier series and coefficients in several variables (42B05) Summability in several variables (42B08) Summability and absolute summability of Fourier and trigonometric series (42A24) Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization (42A63)

Related Items (1)

On the Riesz summability of the eigenfunction expansions on a closed domain

Cites Work

• Pointwise Fourier inversion: A wave equation approach
• On the summability of multiple Fourier trigonometric series of distributions.
• The spectral function of an elliptic operator
• CONVERGENCE PROBLEMS OF MULTIPLE TRIGONOMETRIC SERIES AND SPECTRAL DECOMPOSITIONS. I
• PROBLEMS OF CONVERGENCE OF MULTIPLE TRIGONOMETRIC SERIES AND SPECTRAL DECOMPOSITIONS. II
• Fourier Inversion for Piecewise Smooth Functions in Several Variables
• Eigenfunction expansions and the Pinsky phenomenon on compact manifolds
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