Approximation on the sphere by weighted Fourier expansions

Menegatto, V. A.; Piantella, A. C.

J. Appl. Math., Tome 2005 (2005) no. 1, p. 321-339 / Harvested from Project Euclid

Résumé

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 $L^p$ cases. Approximation by spherical convolution is a particular and important case that fits into our setting.

Publié le : 2005-12-11
Classification:

@article{1135272203,
     author = {Menegatto, V. A. and Piantella, A. C.},
     title = {Approximation on the sphere by weighted Fourier expansions},
     journal = {J. Appl. Math.},
     volume = {2005},
     number = {1},
     year = {2005},
     pages = { 321-339},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1135272203}
}

Menegatto, V. A.; Piantella, A. C. Approximation on the sphere by weighted Fourier expansions. J. Appl. Math., Tome 2005 (2005) no. 1, pp.  321-339. http://gdmltest.u-ga.fr/item/1135272203/