Abstract. The well known sampling theorem is extended to the multidimensional weakly stationary (but not necessarily band-limited) processes. The mean square and almost sure convergence of the sampling expansion sum is derived for full spectrum multidimensional processes.
1991 Mathematics Subject Classification. 60G10.
Key words and phrases. Sampling theorem, band-limited processes, multidimensional processes, L2-convergence, a.s. convergence.