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.
Reviewer: Hu Chuangan (Tianjin)
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 |