Localizations at infinity and essential spectrum of quantum Hamiltonians: I. General theory

Abstract

We isolate a large class of self-adjoint operators H whose essential spectrum is determined by their behavior at large x and we give a canonical representation of their essential spectrum in terms of spectra of limits at infinity of translations of H. The configuration space is an arbitrary abelian locally compact not compact group.

63 pages. This is the published version with several corrections

References in corpus (1)

• Decay Preserving Operators and Stability of the Essential Spectrum

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