Complete Asymptotic Expansion of the Integrated Density of States of Multidimensional Almost-Periodic Pseudo-Differential Operators

Academic Article

Abstract

  • We obtain a complete asymptotic expansion of the integrated density of states of operators of the form H = (-Δ)w+ B in ℝd. Here w > 0 and B belong to a wide class of almost-periodic self-adjoint pseudo-differential operators of order less than 2w. In particular, we obtain such an expansion for magnetic Schrödinger operators with either smooth periodic or generic almost-periodic coefficients. © 2013 Springer Basel.
  • Digital Object Identifier (doi)

    Author List

  • Morozov S; Parnovski L; Shterenberg R
  • Start Page

  • 263
  • End Page

  • 312
  • Volume

  • 15
  • Issue

  • 2