Convergence rate of spherical harmonic expansions of smooth functions

DOI10.1016/J.JMAA.2008.06.051zbMath1181.42033OpenAlexW2041413481MaRDI QIDQ947537

Feng Dai, Kunyang Wang

Publication date: 6 October 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.06.051

zbMATH Keywords

spherical harmonicsCesàro meansalmost everywhere convergence\(\varphi \)-derivatives

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Rate of convergence, degree of approximation (41A25)

Related Items (1)

A SURVEY OF POLYNOMIAL APPROXIMATION ON THE SPHERE

Cites Work

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• Convergence rate of Fourier-Laplace series of \(L^{2}\)-functions
• Jacobi polynomial estimates and Fourier-Laplace convergence
• On the behavior of special classes of ultraspherical expansions. I, II
• Spherical harmonics
• CLASSIFICATION OF PERIODIC FUNCTIONS AND THE RATE OF CONVERGENCE OF THEIR FOURIER SERIES
• Sommes De Cesaro Et Multiplicateurs Des Developpements en Harmoniques Spheriques

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