descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 06 May 2021Embargo end date: 01 Jan 2018 English Publisher:Springer Science and Business Media LLCJournal:Results in Mathematics, volume 76 (issn: 1422-6383, eissn: 1420-9012,

Authors: Yury Grabovsky; Narek Hovsepyan;

doi: 10.1007/s00025-021-01411-8 , 10.48550/arxiv.1807.09252 , 10.48550/arxiv.2107.03016

arXiv: http://arxiv.org/abs/2107.03016 , http://arxiv.org/abs/1807.09252

On the Commutation Properties of Finite Convolution and Differential Operators I: Commutation.

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Abstract

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.

Related Organizations

Temple University
United States

Keywords

Mathematics - Analysis of PDEs, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Analysis of PDEs (math.AP)

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