论文标题
半经典的Gevrey操作员和磁翻译
Semiclassical Gevrey operators and magnetic translations
论文作者
论文摘要
我们研究了具有二次指数重量的整个功能上的Bargmann空间上的半经典型假数算子。使用时间频率分析的一些想法，我们表明此类操作员在自然的塑性功能的自然规模上统一界定，但前提是Gevrey索引为$ \ geq 2 $。
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 $\geq 2$.
