关于形变量子化中调制空间的对称性
On the Usefulness of Modulation Spaces in Deformation Quantization
摘要：
我们讨论的相关性变形量化的Feichtinger的调制空间，特别是加权Sjoestrand类。这些函数空间是伪微分算子（观测量）的良好符号类别。它们在时频分析和相关主题中有着广泛的用途，但在物理学中并不十分知名。事实证明，它们特别适合于研究Moyal星积和星指数。
英文摘要：
We discuss the relevance to deformation quantization of Feichtinger's modulation spaces, especially of the weighted Sjoestrand classes. These function spaces are good classes of symbols of pseudo-differential operators (observables). They have a widespread use in time-frequency analysis and related topics, but are not very well-known in physics. It turns out that they are particularly well adapted to the study of the Moyal star-product and of the star-exponential.
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