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Limiting absorption principle for long-range perturbation in the discrete triangular lattice setting (2403.06578v4)
Published 11 Mar 2024 in math.FA and math.SP
Abstract: We examine the discrete Laplacian acting on a triangular lattice, introducing long-range perturbations to both the metric and the potential. Our goal is to establish a Limiting Absorption Principle away from possible embedded eigenvalues. Our study relies on a positive commutator technique.
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