2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/103737We show that a spectrum of frequencies obtained by a random perturbation of the integers allows one to represent any measurable function on R by an almost everywhere converging sum of harmonics almost surely.6 pages. Very similar to journal versionClassical Analysis and ODEs42A63, 42A61, 42A55text