Abstract
The decomposition of radioactive chemical products usually follows an exponential dynamics. The present paper deals with the problem of analyzing the unknown dynamics of pseudo-radioactive materials for which we have a temporal sample of the amount of the decomposing product. The strategy for studying if the adjustment of the dynamics is or not of exponential type is to use a recent generalization of the Shannon's sampling theorem for non-band limited signals. The aim of the paper is to present an alternative and short proof of this result with a completely different approach to the original one by using transform theory.