We present Chebyshev type cubature rules for the exact integration of rational symmetric functions with poles on prescribed coordinate hyperplanes. Here the integration is with respect to the densities of unitary Jacobi ensembles stemming from the Haar measures of the orthogonal and the compact symplectic Lie groups.

翻译：本文提出用于精确积分有理对称函数的切比雪夫型求体积规则，其中被积函数在预设坐标超平面上具有极点。积分对象是源自正交群和紧辛李群哈尔测度的酉雅可比系综密度函数。