2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/160907We prove that Jacobi, CMV, and Schrödinger operators, which are reflectionless on a homogeneous set E (in the sense of Carleson), under the assumption of a Blaschke-type condition on their discrete spectra accumulating at E, have purely absolutely continuous spectrum on E.25 pages, typos corrected, new material addedSpectral TheoryMathematical Physics34B20, 34L05, 34L40 (Primary); 34B24, 34B27, 47A10 (Secondary)text