The Spectrum of Periodic Point Perturbations and the Krein Resolvent Formula

  • J Br Uning, V A Geyler
  • Published 2000

Abstract

We study periodic point perturbations, H, of a periodic elliptic operator H 0 on a connected complete non-compact Riemannian manifold X, endowed with an isometric, eeective, properly discontinuous, and co-compact action of a discrete group ?. Under some conditions on H 0 , we prove that the gaps of the spectrum are labelled in a natural way by elements of… (More)

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