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Low Frequency Estimates and Local Energy Decay for Asymptotically Euclidean Laplacians

Low Frequency Estimates and Local Energy Decay for Asymptotically Euclidean Laplacians

For Riemannian metrics G on ℝ d which are long range perturbations of the flat one, we prove estimates for (− Δ G − λ −iε)−n as λ → 0, which are uniform with respect to ε, for all n ≤ [d/2] +1 in odd dimension and n ≤ d/2 …