Estimates of derivatives of random functions. II (Q1073446)

[For part I see the second author, ibid. 102, 244-250 (1984; Zbl 0542.60045)] The results of part I are generalized to the case of functions of several variables. Let \(u=s+n\), where s is the useful signal and n is noise. The problem is to estimate the derivatives of s from the observation of u. This problem is of practical importance (see section 2 in part I). Here the formulas for practical calculations are given and the error estimates are derived.