On duality of spaces of harmonic vector fields

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dc.creatorDáger, René
dc.creatorPresa, Arturo
dc.date2006-10-30
dc.date.accessioned2026-07-07T07:29:37Z
dc.date.available2026-07-07T07:29:37Z
dc.descriptionA 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.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0610924
dc.identifierhttp://arxiv.org/abs/math/0610924
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118179
dc.subjectFunctional Analysis
dc.subject31B05, 35N05
dc.titleOn duality of spaces of harmonic vector fields
dc.typetext

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