Essential self-adjointness of the wave operator and the limiting absorption principle on Lorentzian scattering spaces (Q2192438)

Summary: We discuss the essential self-adjointness of wave operators, as well as the limiting absorption principle, in generalizations of asymptotically Minkowski settings. This is obtained via using a Fredholm framework for inverting the spectral family first, and then refining its conclusions to show dense range of \(\Box- \lambda\), \(\lambda \notin \mathbb{R}\), in \(L_{\text{sc}}^2\) when acting on an appropriate subdomain.