00-400 Vincent Bruneau, Vesselin Petkov
Representation of the spectral shift function and spectral asymptotics for trapping perturbations (96K, Latex 2e) Oct 9, 00
Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. We obtain in the semi-classical setup of "black box" long-range perturbations a representation for the derivative of spectral shift function $\xi(\lambda)$ related to two self-adjoint operators $L_j(h), \: j = 1,2. $ We show that the derivative $\xi'(\lambda)$ is estimated by the norms of the cut-off resolvents of the operators $L_j(h)$. Finally, we establish a Weyl type formula for the spectral shift function $\xi(\lambda)$ generalizing the results of Robert [R94] and Christiansen [Ch98].

Files: 00-400.src( 00-400.keywords , ssfpreprint.tex )