2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/113911In this survey, we present various forms of the uncertainty principle (Hardy, Heisenberg, Benedicks). We further give a new interpretation of the uncertainty principles as a statement about the time-frequency localization of elements of an orthonormal basis, which improves previous unpublished results of H. Shapiro. Finally, we show that Benedicks' result implies that solutions of the Shrödinger equation have some (appearently unnoticed) energy dissipation property.Classical Analysis and ODEs42B10Uncertainty principles for orthonormal basestext