On the Commutation Properties of Finite Convolution and Differential Operators II: Sesquicommutation

نویسندگان

چکیده

We introduce and fully analyze a new commutation relation $\overline{K} L_1 = L_2 K$ between finite convolution integral operator $K$ differential operators $L_1$ $L_{2}$, that has implications for spectral properties of $K$. This work complements our explicit characterization commuting pairs $KL=LK$ provides an exhaustive list kernels admitting or sesquicommuting operators.

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ژورنال

عنوان ژورنال: Results in Mathematics

سال: 2021

ISSN: ['1420-9012', '1422-6383']

DOI: https://doi.org/10.1007/s00025-021-01412-7