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Janossy densities, multimatrix spacing distributions and Fredholm resolvents. (English) Zbl 1077.45008

The author proves a relation between integral operators, for a class, easier than methods of the article by A. Soshnikov [Commun. Math. Phys. 251, No. 3, 447–471 (2004; Zbl 1071.82032)], and gives the factorization of the Fredholm resolvent for a class using weight functions.

MSC:

45P05 Integral operators
47B38 Linear operators on function spaces (general)
45G10 Other nonlinear integral equations
47A68 Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators

Citations:

Zbl 1071.82032