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The Helton-Howe trace formula for submodules
Journal of Functional Analysis ( IF 1.7 ) Pub Date : 2021-03-18 , DOI: 10.1016/j.jfa.2021.108997 Quanlei Fang , Yi Wang , Jingbo Xia
中文翻译:
子模块的Helton-Howe跟踪公式
更新日期:2021-03-23
Journal of Functional Analysis ( IF 1.7 ) Pub Date : 2021-03-18 , DOI: 10.1016/j.jfa.2021.108997 Quanlei Fang , Yi Wang , Jingbo Xia
We consider a class of submodules of the Bergman module that are associated with analytic sets with . In analogue to the usual Toeplitz operator on , we have the “Toeplitz operator for the submodule” on . We show that the Helton-Howe trace formula holds for the antisymmetric sum , ∈ .
中文翻译:
子模块的Helton-Howe跟踪公式
我们考虑一类子模块 Bergman模块 与分析集相关的 和 。与通常的Toeplitz运算符类似,我们有“子模块的Toeplitz运算符” 上 。我们证明了Helton-Howe跟踪公式对于反对称和成立, ∈ 。