关于有限卷积与微分算子的交换性质I：交换
On the commutation properties of finite convolution and differential operators I: commutation
摘要：
有限卷积积分算子$K$与微分算子$L$之间的对易关系$KL = LK$对$K$的谱性质有重要意义.我们刻画了所有允许这种对易关系的算子$K$。我们的分析没有对称性的限制内核的$K$扩展著名的结果Morrison为真正的自伴有限卷积积分算子。
英文摘要：
The commutation relation $KL = LK$ between finite convolution integral operator $K$ and differential operator $L$ has implications for spectral properties of $K$. We characterize all operators $K$ admitting this commutation relation. Our analysis places no symmetry constraints on the kernel of $K$ extending the well-known results of Morrison for real self-adjoint finite convolution integral 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。
