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

Abstract

We prove the complete asymptotic expansion of the integrated density of states of a Schrodinger operator H = -Δ+ b acting in R^d when the potential b is either smooth periodic, or generic quasi-periodic (finite linear combination of exponentials), or belongs to a wide class of almost-periodic functions.

arXiv comment54 pages; some details added to sections 5 and 10; typos corrected