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arXiv · 2009.09128

Semiclassical Gevrey operators and magnetic translations

Michael Hitrik·Richard Lascar·Johannes Sjoestrand·Maher Zerzeri
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Abstract

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 $\geq 2$.

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Michael Hitrik, Richard Lascar, Johannes Sjoestrand, Maher Zerzeri. 2020-09-19. Semiclassical Gevrey operators and magnetic translations. https://arxiv.org/abs/2009.09128

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