Atomic, WA-systems, and R-functions applied in modern radio physics problems: Part I

Abstract

The main physical applications of atomic, WA systems, and R functions are presented. The Whittaker-Kotelnikov-Shannon sampling theorem is generalized on the basis of atomic functions. Applica tions of atomic functions in the theory of probability and random processes, interpolation of stationary ran dom processes with atomic functions, and a new class of probabilistic weighting functions used in digital sig nal and image processing are considered.