半经典Gevrey算子与磁平移
Semiclassical Gevrey operators and magnetic translations
摘要：
研究了作用在具有二次指数权重的整函数巴格曼空间上的半经典Gevrey伪微分算子。利用时频分析的一些思想，证明了当Gevrey指标为$\geq 2$时，这类算子在指数加权全纯函数空间的自然尺度上是一致有界的.
英文摘要：
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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