Approximation of smooth functions on the sphere \(S^ n \)by the Fourier method

DOI10.1007/BF01372351zbMath0514.42036MaRDI QIDQ1051196

A. I. Kamzolov

Publication date: 1982

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

rotationsLaplace-Beltrami operatorunit sphereultraspherical polynomialshomogeneous harmonic polynomialsnormalized Haar measureCesaro kerneldirect orthogonal suminequality of Youngzonal spherical harmonics

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15)

Related Items (4)

Approximation of functions on the sphere by linear methods ⋮ Unique solvability of vorticity equation of incompressible viscous fluid on a rotating sphere ⋮ On the existence and uniqueness of solution to problems of fluid dynamics on a sphere ⋮ On the spectral problem in the linear stability study of flows on a sphere

Cites Work

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• On the behavior of special classes of ultraspherical expansions. I, II

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