Complete asymptotic expansion of the spectral function of multidimensional almost-periodic Schrödinger operators

Academic Article

Abstract

  • We prove the existence of a complete asymptotic expansion of the spectral function (the integral kernel of the spectral projection) of a Schrödinger operator H=-Δ+b acting in Rd when the potential b is real and either smooth periodic, or generic quasiperiodic (finite linear combination of exponentials), or belongs to a wide class of almost-periodic functions.
  • Published In

    Digital Object Identifier (doi)

    Author List

  • Parnovski L; Shterenberg R
  • Start Page

  • 509
  • End Page

  • 561
  • Volume

  • 165
  • Issue

  • 3