关于调制与平移不变算子及海森堡模的研究
泛函分析
2025-06-04 v3 算子代数
摘要
我们研究了在相空间中格点平移或调制下不变的算子空间。考虑了与海森堡模的自然联系，得到了将此类算子刻画为有限秩算子极限的结果。给出了这些算子在初等对象和复合演算方面的离散表示。讨论了不同量化方案与所得结果的关系。
引用
@article{arxiv.2406.09119,
title = {On Modulation and Translation Invariant Operators and the Heisenberg Module},
author = {Arvin Lamando and Henry McNulty},
journal= {arXiv preprint arXiv:2406.09119},
year = {2025}
}
备注
Edited some parts for clarity. Corrected an error in Theorem 3.8 (including all affected results). To appear in Journal of Fourier Analysis and Applications