Several formulas for the eigenvalues \(\lambda _j\) of the Weyl transforms \(W_\sigma \) of symbols \(\sigma \) given by radially symmetric distributions are derived. These yield criteria for the boundedness and the compactness, respectively, of the pseudo-differential operators \(W_\sigma .\) We investigate some examples by analyzing the asymptotic behavior of \(\lambda _j\) for \(j\rightarrow \infty \).

中文翻译：

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关于旋转不变符号的Weyl变换

推导了由径向对称分布给出的符号\（\ sigma \）的Weyl变换\（W_ \ sigma \）特征值\（\ lambda _j \）的几个公式。这些分别针对伪微分算子\（W_ \ sigma。\）的有界性和紧致性的屈服准则我们通过分析\（\ lambda _j \）的\（j \ rightarrow \冒犯\）。