Differential and linear integral operators representing polynomial covariance commutation relations in $C^\infty$
Functional Analysis
2023-07-18 v1
Abstract
Representations of polynomial covariance commutation relations by pairs of linear integral and differential operators are constructed in the space of infinitely continuously differentiable functions. Representations of polynomial covariance commutation relations by pairs consisting of a differential and linear integral operator are considered including conditions on kernels and coefficients of operators, and examples.
Cite
@article{arxiv.2307.08028,
title = {Differential and linear integral operators representing polynomial covariance commutation relations in $C^\infty$},
author = {Domingos Djinja and Sergei Silvestrov and Alex Behakanira Tumwesigye},
journal= {arXiv preprint arXiv:2307.08028},
year = {2023}
}