On duality theory and pseudodifferential techniques for Colombeau algebras: generalized delta functionals, kernels and wave front sets

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dc.creatorGaretto, Claudia
dc.creatorHoermann, Guenther
dc.date2005-07-11
dc.date2005-07-12
dc.date.accessioned2026-07-07T05:21:36Z
dc.date.available2026-07-07T05:21:36Z
dc.descriptionSummarizing basic facts from abstract topological modules over Colombeau generalized complex numbers we discuss duality of Colombeau algebras. In particular, we focus on generalized delta functionals and operator kernels as elements of dual spaces. A large class of examples is provided by pseudodifferential operators acting on Colombeau algebras. By a refinement of symbol calculus we review a new characterization of the wave front set for generalized functions with applications to microlocal analysis.
dc.identifierhttps://arxiv.org/abs/math/0507222
dc.identifierhttp://arxiv.org/abs/math/0507222
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75747
dc.subjectFunctional Analysis
dc.subjectAnalysis of PDEs
dc.subject46F30; 13J99; 35S30; 35D10
dc.titleOn duality theory and pseudodifferential techniques for Colombeau algebras: generalized delta functionals, kernels and wave front sets
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