论文标题
Helton-Howe痕迹，Connes-Chern特征和量化
Helton-Howe Trace, Connes-Chern character and Quantization
论文作者
论文摘要
我们通过量化概念研究了在加权伯格曼空间上的Helton-Howe痕迹和Connes-Chern特征。我们证明了康涅狄格州角色的大型$ t $限制的本地公式，因为重量是无限的。而且我们表明，toeplitz运算符的Helton-howe痕迹与权重$ t $无关，并使用谐波分析和量化获得了所有加权伯格曼空间的Helton-Howe痕迹的局部公式。
We study the Helton-Howe trace and the Connes-Chern character for Toeplitz operators on weighted Bergman spaces via the idea of quantization. We prove a local formula for the large $t$-limit of the Connes-Chern character as the weight goes to infinity. And we show that the Helton-Howe trace of Toeplitz operators is independent of the weight $t$ and obtain a local formula for the Helton-Howe trace for all weighted Bergman spaces using harmonic analysis and quantization.
