Convolutions and their applications in information science

Abstract

Convolution is a mathematical operation between sequences or between functions. Starting from an elementary approach, based on the multiplication of polynomials, we prevent exact definitions of this operation. It is shown that it can easily be interpreted from a system-theoretic and from a stochastic point of view. Examples are given of its use and potential in the information sciences. In particular, convolutions can be used to explain observed phenomena such as the decline in the use of older literature (obsolescence) or the influence of publication delays on the aging of scientific literature.