On duality of spaces of harmonic vector fields
  A 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. K\"othe on the dual of the space of germs of analytic functions of complex variables on a compact. 
Ren\'e D\'ager (Universidad Polit\'ecnica de Madrid), Arturo Presa   (Miami Dade College)