Microlocal analysis in the dual of a Colombeau algebra: generalized wave front sets and noncharacteristic regularity
Claudia Garetto
Abstract
We introduce different notions of wave front set for the functionals in the dual of the Colombeau algebra () providing a way to measure the and the - regularity in ((),). 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 and -regularity.
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