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RESEARCH PRODUCT
Pseudodifferential operators of Beurling type and the wave front set
Carmen FernándezAntonio GalbisDavid Jornetsubject
WavefrontPseudodifferential operatorsMathematics::Complex VariablesMathematics::Operator AlgebrasApplied MathematicsMathematical analysisWave front setMicrolocal analysisMathematics::Analysis of PDEsPseudodifferential operatorWave front setType (model theory)Mathematics::Spectral TheoryAction (physics)Set (abstract data type)UltradistributionNonlinear Sciences::Pattern Formation and SolitonsAnalysisMathematicsFront (military)description
AbstractWe investigate the action of pseudodifferential operators of Beurling type on the wave front sets. More precisely, we show that these operators are microlocal, that is, preserve or reduce wave front sets. Some consequences on micro-hypoellipticity are derived.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2008-04-01 | Journal of Mathematical Analysis and Applications |