A. Laptev, S. Naboko, O. Safronov A Szeg\"o condition for a multidimensional Schr\"odinger operator (a revised version of the preprint 02-501) (170K, Postscript) ABSTRACT. We consider spectral properties of a Schr\"odinger operator perturbed by a potential vanishing at infinity and prove that the corresponding spectral measure satisfies a Szeg\"o type condition.