Search results for " 47G30"

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Semiclassical Gevrey operators and magnetic translations

2020

We study semiclassical Gevrey pseudodifferential operators acting on the Bargmann space of entire functions with quadratic exponential weights. Using some ideas of the time frequency analysis, we show that such operators are uniformly bounded on a natural scale of exponentially weighted spaces of holomorphic functions, provided that the Gevrey index is $\geq 2$.

Mathematics::Complex VariablesMathematics - Complex VariablesMathematics::Analysis of PDEsStatistical and Nonlinear Physics32W25 35S05 47G30Mathematics::Spectral TheoryFunctional Analysis (math.FA)Mathematics - Functional AnalysisMathematics - Analysis of PDEsFOS: MathematicsGeometry and TopologyComplex Variables (math.CV)Mathematical PhysicsAnalysis of PDEs (math.AP)
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Compactness of Fourier integral operators on weighted modulation spaces

2019

Using the matrix representation of Fourier integral operators with respect to a Gabor frame, we study their compactness on weighted modulation spaces. As a consequence, we recover and improve some compactness results for pseudodifferential operators.

Modulation spacePure mathematicsPseudodifferential operatorsApplied MathematicsGeneral Mathematics010102 general mathematicsMatrix representationGabor frame01 natural sciencesFourier integral operatorFunctional Analysis (math.FA)Mathematics - Functional Analysis35S30 47G30 42C15Compact spaceFOS: Mathematics0101 mathematicsMathematicsTransactions of the American Mathematical Society
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