Janossy densities, multimatrix spacing distributions and Fredholm resolvents

Details Janossy densities, multimatrix spacing distributions and Fredholm resolvents Janossy densities, multimatrix spacing distributions and Fredholm resolvents

2004-03-04

arxiv.org/abs/math-ph/0403007v3

Int.Math.Res.Not.48:2599-2609,2004

Physics

Mathematical Physics

PlainTex, 10 pages. Some notational corrections added. References updated. To appear in: International Mathematics Research no

Scientific paper

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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