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We discuss the essential self-adjointness of wave operators, as well as thelimiting absorption principle, in generalizations of asymptotically Minkowskisettings. This is obtained via using a Fredholm framework for inverting thespectral family first, and then refining its conclusions to show its denserange in L^2 when acting on an appropriate subdomain.

Essential self-adjointness of the wave operator and the limiting absorption principle on Lorentzian scattering spaces