  Approximation properties of multivariate Kantorovich-Kotelnikov type
operators generated by different band-limited functions are studied. In
particular, a wide class of functions with discontinuous Fourier transform is
considered. The $L_p$-rate of convergence for these operators is given in terms
of the classical moduli of smoothness. Several examples of the
Kantorovich-Kotelnikov operators generated by the ${\rm sinc}$-function and its
linear combinations are provided.
