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Essential self-adjointness of the wave operator and the limiting absorption principle on Lorentzian scattering spaces (1712.09650v1)

Published 27 Dec 2017 in math.AP, math.DG, and math.FA

Abstract: 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 its dense range in L2 when acting on an appropriate subdomain.

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