关于有限卷积和微分算子II的交换性质：倍半交换
On the commutation properties of finite convolution and differential operators II: sesquicommutation
摘要：
引入并分析了有限卷积积分算子$K$与微分算子$L_1$和$L_{2}$之间的一种新的交换关系$\overline{K} L_1 = L_2 K$，它对$K$的谱性质具有重要意义.这项工作补充了我们明确的特征交换对$KL=LK$，并提供了一个详尽的列表内核承认交换或sesquicommuting微分算子。
英文摘要：
We introduce and fully analyze a new commutation relation $\overline{K} L_1 = L_2 K$ between finite convolution integral operator $K$ and differential operators $L_1$ and $L_{2}$, that has implications for spectral properties of $K$. This work complements our explicit characterization of commuting pairs $KL=LK$ and provides an exhaustive list of kernels admitting commuting or sesquicommuting differential operators.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
