Matematičeskie zametki, Tome 4 (1968) no. 5, pp. 589-598
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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/
@article{MZM_1968_4_5_a11,
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},
year = {1968},
volume = {4},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1968_4_5_a11/}
}
TY - JOUR
AU - Yu. D. Popov
TI - On a problem of linear extrapolation for homogeneous and isotropic random fields from the observations on a circle
JO - Matematičeskie zametki
PY - 1968
SP - 589
EP - 598
VL - 4
IS - 5
UR - http://geodesic.mathdoc.fr/item/MZM_1968_4_5_a11/
LA - ru
ID - MZM_1968_4_5_a11
ER -
%0 Journal Article
%A Yu. D. Popov
%T On a problem of linear extrapolation for homogeneous and isotropic random fields from the observations on a circle
%J Matematičeskie zametki
%D 1968
%P 589-598
%V 4
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1968_4_5_a11/
%G ru
%F MZM_1968_4_5_a11
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.