Search results for "Mathematics::Operator Algebras"

showing 3 items of 53 documents

Pseudodifferential operators of Beurling type and the wave front set

2008

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.

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)Journal of Mathematical Analysis and Applications
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Resolvent estimates for elliptic quadratic differential operators

2011

Sharp resolvent bounds for non-selfadjoint semiclassical elliptic quadratic differential operators are established, in the interior of the range of the associated quadratic symbol.

quadratic differential operatorSemiclassical physics47A10 35P05 15A63 53D2215A6353D22spectrumMathematics - Spectral TheoryMathematics - Analysis of PDEsQuadratic equationFOS: Mathematicsnonselfadjoint operator35P05Quadratic differentialSpectral Theory (math.SP)ResolventMathematicsNumerical AnalysisMathematics::Operator AlgebrasApplied MathematicsMathematical analysisSpectrum (functional analysis)resolvent estimateMathematics::Spectral TheoryDifferential operator47A10Range (mathematics)FBI-Bargmann transformAnalysisAnalysis of PDEs (math.AP)
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Liftings and extensions of operators in Brownian setting

2020

We investigate the operators T on a Hilbert space H which have 2-isometric liftings S with the property S ∗ S H ⊂ H . We show that such liftings are closely related to some extensions of T, which h...

symbols.namesakePure mathematicsAlgebra and Number TheoryProperty (philosophy)Mathematics::Operator AlgebrasHilbert spacesymbols010103 numerical & computational mathematicsExtension (predicate logic)0101 mathematics01 natural sciencesBrownian motionMathematicsLinear and Multilinear Algebra
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