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Cubature Rules for Unitary Jacobi Ensembles
Constructive Approximation ( IF 2.7 ) Pub Date : 2020-08-04 , DOI: 10.1007/s00365-020-09514-1
J. F. van Diejen , E. Emsiz

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.



中文翻译:

单一雅各比合奏的古巴规则

我们提出了切比雪夫(Chebyshev)型孵化规则,用于将有理对称函数与指定坐标超平面上的极点进行精确积分。在这里,积分是关于由正交和紧辛辛李群的Haar测度产生的整体Jacobi集合的密度。

更新日期:2020-08-05
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