- 92-172 Krishna M.
- Absolutely continuous spectrum for sparce Potentials
Oct 30, 92
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Abstract. In this paper we show that bounded perturbation of the
discrete laplacian with a potential that is sparcely
supported ( a notion made precise in the paper )
produces absolutely continuous spectrum in the
interval [-2$\nu$, 2$\nu$] for large dimension $\nu$. We note that the
potential need not give rise to a compact operator, let alone have
decay at infinity.