0000000001090745

AUTHOR

Richard Lascar

showing 2 related works from this author

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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Semiclassical Gevrey operators on exponentially weighted spaces of holomorphic functions

2022

We provide a general overview of the recent works [“Semiclassical Gevrey operators in the complex domain”, Ann. Inst. Fourier (to appear), arXiv:2009.09125 (opens in new tab); J. Spectr. Theory 12, No. 1, 53–82 (2022; Zbl 1486.30104)] by the authors, devoted to continuity properties of semiclassical Gevrey pseudodifferential operators acting on a natural scale of exponentially weighted spaces of entire holomorphic functions.

[MATH] Mathematics [math]
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