Prediction and estimation of the mean from observations of the field and the normal derivative on a sphere

We consider prediction and estimation of the unknown mean of a homogeneous and isotropic random field from observations of the field and the normal derivative on a sphere in Rⁿ. The solution is represented as a linear functional dependent on some parameters. The equations for the unknown parameters are given.Translated from Vychislitel'naya i Prikladnaya Matematika, No. 64, pp. 112–116, 1988.