6533b7dbfe1ef96bd12700e5

RESEARCH PRODUCT

Semiclassical Gevrey operators and magnetic translations

Michael HitrikRichard LascarJohannes SjöstrandMaher Zerzeri

subject

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)

description

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 $\geq 2$.

yearjournalcountryeditionlanguage
2020-09-18
http://arxiv.org/abs/2009.09128