Geodesic
On a~problem of linear extrapolation for homogeneous and isotropic random fields from the observations on a~circle
Matematičeskie zametki, Tome 4 (1968) no. 5, pp. 589-598.

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We shall find a linear extrapolation formula for a homogeneous and isotropic plane random field which is observed on $n$ concentric circles. Necessary and sufficient conditions are given for error-free extrapolation of a field with respect to a circle to its center. 
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     author = {Yu. D. Popov},
     title = {On a~problem of linear extrapolation for homogeneous and isotropic random fields from the observations on a~circle},
     journal = {Matemati\v{c}eskie zametki},
     pages = {589--598},
     publisher = {mathdoc},
     volume = {4},
     number = {5},
     year = {1968},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1968_4_5_a11/}
}
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Yu. D. Popov. On a~problem of linear extrapolation for homogeneous and isotropic random fields from the observations on a~circle. Matematičeskie zametki, Tome 4 (1968) no. 5, pp. 589-598. http://geodesic.mathdoc.fr/item/MZM_1968_4_5_a11/