On the identification of Wiener–Hopf factors

This note is concerned with the identification of the Wiener–Hopf factors of a function 1 − f, where f generates an aperiodic distribution on the integers with a negative mean. The general and rational cases are addressed. We give a concise summary of the main practical facts needed for calculations involving the Wiener–Hopf factors. The basic facts are cited from the literature, but a few aspects are briefly proven here.