Abstract:
We study the semiclassical estimates of the resolvent of a self-adjoint operator L(h) in the space of bounded operators . In the general case of long-range trapping “black-box” perturbations we prove that the estimate of the cut-off resolvent implies the estimate .
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Received: 15 November 1999 / Accepted: 1 March 2000
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Bruneau, V., Petkov, V. Semiclassical Resolvent Estimates for Trapping Perturbations. Commun. Math. Phys. 213, 413–432 (2000). https://doi.org/10.1007/s002200000246
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DOI: https://doi.org/10.1007/s002200000246