Journal of Statistical Physics, Vol. 57, Nos. 1/2, 1989. p. 65-88.
We derive regularity properties for the density of states in the Anderson model on a one-dimensional strip for potentials with singular continuous distributions. For example, if the characteristic function is infinitely differentiable with bounded derivatives and together with all its derivatives goes to zero at infinity, we show
that the density of states is infinitely differentiable.