Sufficient conditions for sampling and interpolation on the sphere
Classical Analysis and ODEs
2013-02-28 v1 Functional Analysis
Spectral Theory
Abstract
We obtain sufficient conditions for arrays of points, on the unit sphere to be Marcinkiewicz-Zygmund and interpolating arrays for spaces of spherical harmonics. The conditions are in terms of the mesh norm and the separation radius of .
Cite
@article{arxiv.1302.6730,
title = {Sufficient conditions for sampling and interpolation on the sphere},
author = {J. Marzo and B. Pridhnani},
journal= {arXiv preprint arXiv:1302.6730},
year = {2013}
}