2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65935We obtain a new version of the Uncertainty Principle for functions with Fourier transforms supported on a lacunary set of intervals. This is a generalization of Zygmund's theorem on lacunary trigonometric series to the real line in the spirit of the Logvinenko-Sereda theorem for relatively dense sets.Classical Analysis and ODEs42The Uncertainty Principle for relatively dense sets and lacunary spectratext