Dispersive estimates for Schrödinger operators in dimensions one and three

@inproceedings{Goldberg2004DispersiveEF,
title={Dispersive estimates for Schr{\"o}dinger operators in dimensions one and three},
author={Michael Goldberg and W. Schlag},
year={2004}
}

A “resonance” here is defined to take place iff W (0) = 0 where W (λ) is the Wronskian of the two Jost solutions at energy λ2, see the following section. It is known that the spectrum of H is purely absolutely continuous on (0,∞) under our assumptions (V ∈ L1(R) suffices for that) so that Pac is the same as the projection onto the orthogonal complement of the bound states. For the case of three dimensions we prove the following result.