Abstract
Let f : R -> R be a map and tau is an element of R+. The map f obeys the Shannon-Whittaker-Kotel'nikov theorem generalization (SWKTG) if f (t) = lim(n ->infinity)(Sigma(k is an element of Z) f1/n (k/tau) sinc(tau t - k))(n) for every t is an element of R. The aim of the present paper is to characterize the perturbations of the map f that obeys SWKTG. Our results enlarge the catalog of maps that can be recomposed using SWKTG. We underline that maps obeying SWKTG play a central role in applications to chemistry and signal theory between other fields.