Geodesic
Interpolation of homogeneous and
Teoriâ slučajnyh processov, Tome 13 (2007) no. 2, pp. 234-242 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {Nataliya Semenovs'ka},
     title = {Interpolation of homogeneous and},
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     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/

[1] M. V. Kartashov, “Finite-dimensional interpolation of a random field on the plane”, Probability Theory and Math. Statist., 51 (1994), 53–-61

[2] N. Semenovs’ka, “Interpolation problem for homogeneous and isotropic random field”, Probability Theory and Math. Statist., 74 (2006), 150-–158 (Ukrainian)

[3] M. I. Yadrenko, Spectral theory of random fields, Vischa Shkola, Kiev, 1980 (Russian)