Sufficient conditions for sampling and interpolation on the sphere (Q485340)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sufficient conditions for sampling and interpolation on the sphere |
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Sufficient conditions for sampling and interpolation on the sphere (English)
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9 January 2015
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The authors provide sufficient conditions for point sets on \(d\)-dimensional unit spheres to admit Marcinkiewicz-Zygmund inequalities in the \(L^p\) norm for \(1 \leq p \leq \infty\). Moreover, they discuss under which conditions such sets of points admit interpolation with spherical harmonics.
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Marcinkiewicz-Zygmund inequalities
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interpolation
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mesh norm
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separation radius
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Laplace-Beltrami operator
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points on the sphere
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