2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/121601We discuss applications of the M. G. Kre\uın theory of the spectral shift function to the multi-dimensional Schrödinger operator as well as specific properties of this function, for example, its high-energy asymptotics. Trace identities for the Schrödinger operator are derived.Spectral TheoryFunctional AnalysisPerturbation determinants, the spectral shift function, trace identities, and all thattext