Feichtinger算子的$τ$ -量子化和$τ$ -Cohen类分布
$τ$-quantization and $τ$-Cohen classes distributions of Feichtinger operators
摘要：
我们研究了一类合适的迹类算子（称为Feichtinger算子）的$τ$ -量子化和Cohen类分布，并证明了它是Schwartz算子类的一个方便的替代.许多著名的概念和结果的功能，在时间-频率分析有一个运营商模拟在我们的设置，例如，科恩的类是卷积的维格纳函数与分布或表征类的施瓦茨运营商作为一个交叉的加权变种类的Feichtinger运营商。
英文摘要：
We investigate the $τ$-quantizations and Cohen's class distributions of a suitable class of trace-class operators, called Feichtinger's operators, and show that it is a convenient substitute for the class of Schwartz operators. Many well-known concepts and results for functions in time-frequency analysis have an operator-analog in our setting, e.g. that Cohen's classes are convolutions of Wigner functions with distributions or characterization of the class of Schwartz operators as an intersection of weighted variants of the class of Feichtinger operators.
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