The main result of this paper, Theorem 1.5, gives explicit formulae for the kernels of the ergodic decomposition measures for infinite Pickrell measures on the space of infinite complex matrices. The kernels are obtained as the scaling limits of Christoffel-Uvarov deformations of Jacobi orthogonal polynomial ensembles.

中文翻译：

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无限Pickrell测度的遍历分解中缩放极限的显式公式

本文的主要结果是定理1.5，给出了无穷复矩阵空间上无穷Pickrell测度的遍历分解测度的核的明确公式。获得内核作为Jacobi正交多项式集合的Christoffel-Uvarov变形的缩放极限。