2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/118179A differential form defined on a Riemannian manifold is said to harmonic if it is closed and co-closed. Harmonic differential forms are a natural multi-dimensional extension of the concept of analytic function of complex variable. In this paper we characterize continuous linear functionals acting of the space of germs of harmonic differential forms on a compact set. This result provides a multi-dimensional analog of a theorem by G. Köthe on the dual of the space of germs of analytic functions of complex variables on a compact.20 pagesFunctional Analysis31B05, 35N05text