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arxiv: 0810.5563 · v2 · pith:QMFMFDWOnew · submitted 2008-10-30 · 🧮 math.FA · math-ph· math.MP· math.SP

Hamiltonians with purely discrete spectrum

classification 🧮 math.FA math-phmath.MPmath.SP
keywords spectrumabeliancasecompactcriteriadiscretediscussempty
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We discuss criteria for a self-adjoint operator on L^2(X) to have empty essential spectrum. We state a general result for the case of a locally compact abelian group X and give examples for X=R^n.

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