2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/145409We consider the inverse spectral problem for periodic Jacobi matrices in terms of the vertical slits on the quasi-momentum domain plus the Dirichlet eigenvalues, i.e., the Marchenko-Ostrovsky mapping. Moreover, we show that the gradients of the Dirichlet eigenvalues and of the so-called norming constants are linear independent.Spectral TheoryMathematical Physicstext