Microlocal analysis in the dual of a Colombeau algebra: generalized wave front sets and noncharacteristic regularity

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dc.creatorGaretto, Claudia
dc.date2005-11-11
dc.date2006-01-09
dc.date.accessioned2026-07-07T06:51:08Z
dc.date.available2026-07-07T06:51:08Z
dc.descriptionWe introduce different notions of wave front set for the functionals in the dual of the Colombeau algebra $\Gc(\Om)$ providing a way to measure the $\G$ and the $\Ginf$- regularity in $\LL(\Gc(\Om),\wt{\C})$. For the smaller family of functionals having a ``basic structure'' we obtain a Fourier transform-characterization for this type of generalized wave front sets and results of noncharacteristic $\G$ and $\Ginf$-regularity.
dc.identifierhttps://arxiv.org/abs/math/0511297
dc.identifierhttp://arxiv.org/abs/math/0511297
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104887
dc.subjectAnalysis of PDEs
dc.subjectFunctional Analysis
dc.subject35S99, 13J99, 46F30, 46A20
dc.titleMicrolocal analysis in the dual of a Colombeau algebra: generalized wave front sets and noncharacteristic regularity
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