On the renewal of a Wiener field on a plane with the use of its values on closed curves
Forw(u, v), (u, v)∉ γ (here,w(x, y), x≥0, y≥0, is a Wiener field and γ is a certain closed curve on a plane), we construct the best mean-square estimate on the basis of the values ofw(x, y) for (x, y)∈ γ. We also calculate the error of this estimate.
English version (Springer): Ukrainian Mathematical Journal 51 (1999), no. 6, pp 827-836.
Citation Example: Zemlyak Т. V. On the renewal of a Wiener field on a plane with the use of its values on closed curves // Ukr. Mat. Zh. - 1999. - 51, № 6. - pp. 744–752.