The approximation of functions from \(L \log L(\log \log L)(S^N)\) by Fourier-Laplace series

DOI10.1016/J.CAM.2011.08.018zbMath1244.42004OpenAlexW2037241665WikidataQ59349601 ScholiaQ59349601MaRDI QIDQ432824

Norashikin Abdul Aziz, Anvarjon Akhmedov

Publication date: 4 July 2012

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2011.08.018

zbMATH Keywords

approximationspectral functionRiesz meanseigenfunction of the Laplace--Beltrami operatorFourier--Laplace series

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Summability in several variables (42B08)

Cites Work

• Unnamed Item
• Localization and summability of multiple Fourier series
• The principle of general localization on unit sphere
• An inequality of Paley and convergence a.e. of Walsh-Fourier series
• On L(p,q) spaces
• On analytic families of operators
• Sommes De Cesaro Et Multiplicateurs Des Developpements en Harmoniques Spheriques

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