Sufficient Conditions for Sampling and Interpolation on the Sphere |
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| Authors: | Jordi Marzo Bharti Pridhnani |
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| Affiliation: | 1. Dept. Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, Gran Via 585, 08007?, Barcelona, Spain
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| Abstract: | We obtain sufficient conditions for arrays of points, (mathcal {Z}={mathcal {Z}(L) }_{Lge 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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