2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56875A new proof of Imprimitivity theorem for transitive systems of covariance is given and a definition of square-integrable representation modulo a subgroup is proposed. This clarifies the relation between coherent states, wavelet transforms and covariant localisation observables.26 pages (Latex2e with amsmath package)Mathematical PhysicsFunctional Analysis43A32; 43A85; 42C40text