2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58026We show that pure, quasifree states, as well as regular (i.e., those with a unique vacuum) quasifree ground and KMS states, for linear quantum fields in a curved spacetime, are always continuous in the sense of distributions, and provide certain applications of this fact.LaTex2e, 5 pagesMathematical Physics81T05; 81T20text