Vincent Bruneau, Vesselin Petkov
Meromorphic continuation of the Spectral Shift Function.
(109K, Latex 2e)

ABSTRACT.  We obtain a representation of the derivative of the spectral shift 
function $\xi(\lambda, h)$ in the framework of semi-classical 
"black box" perturbations. Our representation implies a meromorphic 
continuation of $\xi(\lambda, h)$ involving the semi-classical 
resonances. Moreover, we obtain a Weyl type asymptotics of the 
spectral shift function as well as a Breit-Wigner approximation in an 
interval 
$(\lambda - \delta, \lambda + \delta), \:\: 0 < \delta < \epsilon h.$