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Some resolvent estimates for Sturm Liouville operators. (English) Zbl 0863.34083

Using a method similar to the second author’s [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.
Reviewer: T.Aktosun (Fargo)

MSC:

34L40 Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.)
47A10 Spectrum, resolvent

Citations:

Zbl 0489.47010
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