On the commutation properties of finite convolution and differential operators II: sesquicommutation
Analysis of PDEs
2021-06-04 v1 Classical Analysis and ODEs
Abstract
We introduce and fully analyze a new commutation relation between finite convolution integral operator and differential operators and , that has implications for spectral properties of . This work complements our explicit characterization of commuting pairs and provides an exhaustive list of kernels admitting commuting or sesquicommuting differential operators.
Keywords
Cite
@article{arxiv.1906.02682,
title = {On the commutation properties of finite convolution and differential operators II: sesquicommutation},
author = {Yury Grabovsky and Narek Hovsepyan},
journal= {arXiv preprint arXiv:1906.02682},
year = {2021}
}