On the Commutation Properties of Finite Convolution and Differential Operators I: Commutation.
نویسندگان
چکیده
The commutation relation $$KL = LK$$ between finite convolution integral operator K and differential L has implications for spectral properties of K. We characterize all operators admitting this relation. Our analysis places no symmetry constraints on the kernel extending well-known results Morrison real self-adjoint operators.
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ژورنال
عنوان ژورنال: Results in Mathematics
سال: 2021
ISSN: ['1420-9012', '1422-6383']
DOI: https://doi.org/10.1007/s00025-021-01411-8