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arxiv: 1208.4428 · v2 · pith:Y7XP4JHKnew · submitted 2012-08-22 · 🧮 math.SP

A Rellich Type Theorem for Discrete Schr{\"o}dinger Operators

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keywords discretedingeroperatorsrellichschrtheoremanalogueapplied
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An analogue of Rellich's theorem is proved for discrete Laplacian on square lattice, and applied to show unique continuation property on certain domains as well as non-existence of embedded eigenvalues for discrete Schr{\"o}dinger operators.

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