Divergence of Cesàro means of spherical \(h\)-harmonic expansions

DOI10.1016/J.JAT.2007.01.006zbMath1116.42006OpenAlexW2026518945MaRDI QIDQ2643863

Heng Zhou

Publication date: 27 August 2007

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2007.01.006

zbMATH Keywords

Cesàro meansJacobi polynomialsspherical \(h\)-harmonics

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (2)

Maximal estimates for the Cesàro means of weighted orthogonal polynomial expansions on the unit sphere ⋮ Boundedness of projection operators and Cesàro means in weighted 𝐿^{𝑝} space on the unit sphere

Cites Work

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• Summability of orthogonal expansions of several variables.
• Cohen Type Inequalities for Jacobi, Laguerre and Hermite Expansions
• Differential-Difference Operators Associated to Reflection Groups

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