Geodesic
Interpolation of homogeneous and
Teoriâ slučajnyh processov, Tome 13 (2007) no. 2, pp. 234-242

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We consider interpolation of homogeneous and isotropic random field in the center of the sphere by uniform distributed observations on the sphere. The asymptotic behavior of the mean-square interpolation error is investigated. The degree of convergence to zero of the mean-square interpolation error is obtained. Efficient volume of the set of observations is given.
Keywords: Homogeneous and isotropic random field, interpolation in the center of the sphere, mean-square interpolation error, asymptotic behavior. 
@article{THSP_2007_13_2_a6,
     author = {Nataliya Semenovs'ka},
     title = {Interpolation of homogeneous and},
     journal = {Teori\^a slu\v{c}ajnyh processov},
     pages = {234--242},
     publisher = {mathdoc},
     volume = {13},
     number = {2},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/THSP_2007_13_2_a6/}
}
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Nataliya Semenovs'ka. Interpolation of homogeneous and. Teoriâ slučajnyh processov, Tome 13 (2007) no. 2, pp. 234-242. http://geodesic.mathdoc.fr/item/THSP_2007_13_2_a6/