表示 $C^\infty$ 中多项式协方差对易关系的微分与线性积分算子
Differential and linear integral operators representing polynomial covariance commutation relations in $C^\infty$
AI总结：
本文研究 $C^\infty$ 函数空间中多项式协方差对易关系的算子表示，构造微分算子与线性积分算子对，并给出核、系数条件及示例。
摘要：
在无限次连续可微函数空间中，构造了由线性积分算子和微分算子对给出的多项式协方差对易关系表示。文中考察了由微分算子与线性积分算子组成的算子对所给出的多项式协方差对易关系表示，包括关于算子核与系数的条件以及若干示例。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
