Abstract
In Antuna et al. (MATCH Commun Math Chem 73:385-396, 2015) was proved that if. = {.k} k. Z is a bounded sequence of positive real numbers holding the property k. Z k=0 log.k k < 8 then the function s.(t) := k. Z.sinc(t-k) k holds the ShannonWhittaker-Kotel'nikov's theorem generalized (SWKTG) and it can be recomposed in the way s.(t) = limn.8 k. Z. 1 n k sinc(t - k)n for every t. R. The aim of the present work is to analyze the algebraic structure of the set of sequences of positive real numbers holding k. Z k =0 log.k k < 8. It will allow to apply SWKTG in a more effective way in its many applications, in particular to the chemical ones.