Janossy密度、多矩阵间距分布和Fredholm预解式
Janossy densities, multimatrix spacing distributions and Fredholm resolvents
摘要：
给出了Soshnikov定理的一个推广形式的简单证明。后者指出，支持在一组测度空间的可测子空间上的多级行列式系综的Janossy密度是通过N维函数空间的对偶对上的基关于给定可测子空间的补空间上的积分给出的配对的对偶化来构造的。推广扩展到对偶的措施修改任意套的权重函数。
英文摘要：
A simple proof is given for a generalized form of a theorem of Soshnikov. The latter states that the Janossy densities for multilevel determinantal ensembles supported on measurable subspaces of a set of measure spaces are constructed by dualization of bases on dual pairs of N-dimensional function spaces with respect to a pairing given by integration on the complements of the given measurable subspaces. The generalization extends this to dualization with respect to measures modified by arbitrary sets of weight functions.
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