ANDERSON LOCALIZATION FOR THE ALMOST MATHIEU EQUATION .2. POINT SPECTRUM FOR LAMBDA-GREATER-THAN-2

We prove that for any lambda > 2 and a.e. omega, theta the pure point spectrum of the almost Mathieu operator (H(theta)Psi)(n) = Psi(n-1) + Psi(n+1) + lambda cos(2 pi(theta) + n omega))Psi(n) contains the essential closure ($) over cap sigma of the spectrum. Corresponding eigenfunctions decay exponentially. The singular continuous component, if it exists, is concentrated on a set of zero measure which is nowhere dense in ($) over cap sigma.