Traceformula for resonances in small domains

Traceformulas are useful in the study of resonances. In this article. we wo rk in a semi-classical black box framework and obtain a traceformula of the same type as that of the second author, now for the resonances in h-depend ent domains of size It. and under somewhat more restrictive assumptions. As an application, we extend to it long range situation a result by V. Petkov and M. Zworski on Breit-Wigner peaks in the scattering phase. (C) 2001 Aca demic Press.