2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/216854A 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.PlainTex, 10 pages. Some notational corrections added. References updated. To appear in: International Mathematics Research noticesMathematical PhysicsStatistical MechanicsHigh Energy Physics - TheoryProbabilityExactly Solvable and Integrable Systems15A52; 60G55; 45B05text