Approximation of almost periodic functions of two variables
The author studies the deviation of functions of two variables \(f(x,y)\), defined on the whole two-dimensional space, from the integral mean values of their Fourier transforms in the metric of the space \(L_p(\mathbb R^2)\), \(1\leq p < \infty\). In the class of uniform almost periodic functions of two variables, the author obtains estimates for the deviation from sums of Marcinkiewicz-Zygmund type.
scientific article; zbMATH DE number 5975429