2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/98587We prove a limiting absorption principle for linear Schroedinger equations in Lebesgue spaces. In particular, we do not require any polynomially decaying weights as in the classical Agmon estimate. The methods used are close to the Stein-Tomas theorem in harmonic analysis.Removed section on dynamical results, and the conjectures at the end. These will be discussed in greater generality in a forthcoming paper by A. Ionescu and the second authorAnalysis of PDEsMathematical Physics35Q40; 42B15text