Complete asymptotic expansion of the integrated density of states of multidimensional almost-periodic pseudo-differential operators

Sergey Morozov, Leonid Parnovski, Roman Shterenberg

We obtain a complete asymptotic expansion of the integrated density of states of operators of the form H =(-Δ)^w +B in R^d. Here w >0, and B belongs to a wide class of almost-perio…