We study properties of the boundary values (H ?i0) ?1 of the resolvent of a self-adjoint operator H for in a real open set on which H admits a locally strictly conjugate operator A (in the sense of E. Mourre, i.e. '(H) H; iA]'(H) aj'(H)j 2 for some real a > 0 if ' 2 C 1 0 (()). In particular, we determine the HH older-Zygmund class of the B(E; F)-valued… (More)