Fundamental sets of continuous functions on spheres

DOI10.1007/BF02678466zbMath0886.41016MaRDI QIDQ1357859

E. W. Cheney, Xingping Sun

Publication date: 16 June 1997

Published in: Constructive Approximation (Search for Journal in Brave)

zbMATH Keywords

fundamental sets of continuous functions

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Multidimensional problems (41A63) Positive definite functions in one variable harmonic analysis (42A82) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30) Approximation by other special function classes (41A30) Completeness of sets of functions in one variable harmonic analysis (42A65) Approximation by arbitrary linear expressions (41A45)

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Cites Work

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• The fundamentality of translates of a continuous function on spheres
• Spherical harmonics
• Positive definite functions on spheres
• Weak type estimates for Cesàro sums of Jacobi polynomial series