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Article Dans Une Revue Journal of Spectral Theory Année : 2022

Semiclassical Gevrey operators and magnetic translations

Résumé

We study semiclassical Gevrey pseudodifferential operators acting on the Bargmann space of entire functions with quadratic exponential weights. Using some ideas from 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 greater than or equal to 2.

Dates et versions

hal-03891988 , version 1 (09-12-2022)

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Michael Hitrik, Richard Lascar, Johannes Sjöstrand, Maher Zerzeri. Semiclassical Gevrey operators and magnetic translations. Journal of Spectral Theory, 2022, 12 (1), pp.53-82. ⟨10.4171/JST/394⟩. ⟨hal-03891988⟩
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