Vadim Kostrykin and Robert Schrader
Regularity of the Density of Surface States
(134K, Postscript)

ABSTRACT.  We prove that the integrated density of surface states of continuous or 
discrete Anderson-type random Schroedinger operators is a measurable locally integrable function rather than a signed measure or a distribution. This generalize our recent results on the existence of the integrated density of surface states in the continuous case and those of A. Chahrour in the discrete 
case. The proof uses the new $L^p$-bound on the spectral shift function 
recently obtained by Combes, Hislop, and Nakamura. Also we provide a simple proof of their result on the Hoelder continuity of the integrated density of bulk states.