Complete asymptotic expansions of the spectral function for symbolic perturbations of almost periodic Schrödinger operators in dimension one.

In this article we consider asymptotics for the spectral function of Schrödinger operators on the real line. Let PW^L2(R) ! L².R/have the form P:= - d²/dx² C W; where W is a self-adjoint first order differential operator with certain modified almost periodic structure. We show that the kernel of the spectral projector,- Shterenberg and Sobolev with Melrose's scattering calculus. [ABSTRACT FROM AUTHOR]