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arXiv · 1302.6730

Sufficient conditions for sampling and interpolation on the sphere

J. Marzo·B. Pridhnani
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Abstract

We obtain sufficient conditions for arrays of points, $\mathcal{Z}=\{\mathcal{Z}(L) \}_{L\ge 1},$ on the unit sphere $\mathcal{Z}(L)\subset \mathbb{S}^d,$ 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 $\mathcal{Z}(L)$.

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J. Marzo, B. Pridhnani. 2013-02-27. Sufficient conditions for sampling and interpolation on the sphere. https://arxiv.org/abs/1302.6730

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