Some resolvent estimates for Sturm Liouville operators (Q1922967)

Using a method similar to the second author's [\textit{E. Mourre}, Commun. Math. Phys. 78, No. 3, 391-408 (1981; Zbl 0489.47010)], the authors obtain some estimates on the resolvent of the 1-D Schrödinger operator. Under certain conditions these estimates are used to show that the Schrödinger operator has a purely absolutely continuous spectrum.