Abstract
Sharp bounds on the numberN(r) of the scattering poles in the disc |z|≦r for a large class of compactly supported perturbations (not necessarily selfadjoint) of the Laplacian in ℝn,n≧3, odd, are obtained. In particular, in the elliptic case the estimateN(r)≦Cr n+C is proved.
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Communicated by B. Simon
Partially supported by Bulgarian Scientific Fondation under grant no. MM8/91
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Vodev, G. Sharp bounds on the number of scattering poles for perturbations of the Laplacian. Commun.Math. Phys. 146, 205–216 (1992). https://doi.org/10.1007/BF02099213
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DOI: https://doi.org/10.1007/BF02099213