Abstract
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
Open Access
Approximation on the sphere by weighted Fourier expansions
Received02 Mar 2005
Revised12 Sept 2005
Copyright
Copyright © 2005 Hindawi Publishing Corporation. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.