Approximation on the sphere by weighted Fourier expansions

The main theme of this paper is the approximation on the sphere by weighted sums of spherical harmonics. We give necessary and sufficient conditions on the weights for convergence in both the continuous and the LP cases. Approximation by spherical convolution is a particular and important case that...

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Bibliographic Details
Main Authors: V. A. Menegatto, A. C. Piantella
Format: Article
Language:English
Published: Wiley 2005-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/JAM.2005.321
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