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arXiv · 2307.08028

Differential and linear integral operators representing polynomial covariance commutation relations in $C^\infty$

Domingos Djinja·Sergei Silvestrov·Alex Behakanira Tumwesigye
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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.

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Domingos Djinja, Sergei Silvestrov, Alex Behakanira Tumwesigye. 2023-07-16. Differential and linear integral operators representing polynomial covariance commutation relations in $C^\infty$. https://arxiv.org/abs/2307.08028

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