论文标题
带有各向同性符号的伪差异操作员，灯芯和反式操作员以及低纤维化
Pseudo-differential operators with isotropic symbols, Wick and anti-Wick operators, and hypoellipticity
论文作者
论文摘要
我们通过Bargmann Transform研究伪差异操作员和Wick运营商之间的联系。我们根据Weyl符号的短时傅立叶变换来推导灯芯操作员符号的公式。这给出了shubin类型和无限顺序的伪差异算子的芯符号的特征，并取决于组成。我们证明了反式操作员中的Wick运营商的一系列扩展，这导致了Wick和Shubin符号之间的急剧不平等和过渡。最终，我们显示了反踢锁操作员的连续性结果，并显示了反踢锁操作员的灯芯符号的估计。
We study the link between pseudo-differential operators and Wick operators via the Bargmann transform. We deduce a formula for the symbol of the Wick operator in terms of the short-time Fourier transform of the Weyl symbol. This gives characterizations of Wick symbols of pseudo-differential operators of Shubin type and of infinite order, and results on composition. We prove a series expansion of Wick operators in anti-Wick operators which leads to a sharp Gårding inequality and transition of hypoellipticity between Wick and and Shubin symbols. Finally we show continuity results for anti-Wick operators, and estimates for the Wick symbols of anti-Wick operators.
