Abstract
We study the continuity properties of the boundary values of the resolvent of self adjoint operators of the form H = H 0V, where H 0 is a pseudo-differential operator, while V is an operator that tends to zero at infinity in some sense. In particular, relativistic and non-relativistic Schrödinger operators, Dirac operators, and Stark effect Hamiltonian are included. Our results are optimal on the Hölder-Zygmund scale.
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