2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62224We show that formal Schrödinger operators with singular potentials from the space W^{-1}_{2,unif}(R) can be naturally defined to give selfadjoint and bounded below operators, which depend continuously in the uniform resolvent sense on the potential in the W^{-1}_{2,unif}(R)-norm. In the case of periodic singular potentials we also establish pure absolute continuity and a band and gap structure of the spectrum thus generalising some classical results for singular potentials of one-dimensional quasicrystal theory.12 pages, Amslatex, To appear in Meth. Funct. Anal. TopolSpectral TheoryMathematical Physics34L05 (Primary) 34L40, 47A10, 47B25 (Secondary)text