Generalized analytic functions on generalized domains

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dc.creatorVernaeve, Hans
dc.date2008-11-10
dc.date.accessioned2026-07-07T10:17:15Z
dc.date.available2026-07-07T10:17:15Z
dc.descriptionWe define the algebra of Colombeau generalized functions on a subset A of the space of d-dimensional generalized points. If the domain A is open, such generalized functions can be identified with pointwise maps from A into the ring of Colombeau generalized numbers. We study analyticity in these algebras, if the domain is an open subset of the complex generalized points. In particular, if the domain is an open ball for the sharp norm, we characterize analyticity and give a unicity theorem involving the values at generalized points.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0811.1521
dc.identifierhttp://arxiv.org/abs/0811.1521
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173790
dc.subjectFunctional Analysis
dc.subject46F30
dc.titleGeneralized analytic functions on generalized domains
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