On the commutation properties of finite convolution and differential operators II: sesquicommutation
Abstract
We introduce and fully analyze a new commutation relation K L1 = L2 K between finite convolution integral operator K and differential operators L1 and L2, 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.
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