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arXiv:math/0511297 [math.AP]AbstractReferencesReviewsResources

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

Claudia Garetto

Published 2005-11-11, updated 2006-01-09Version 2

We 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.

Categories: math.AP, math.FA
Subjects: 35S99, 13J99, 46F30, 46A20
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