Sharp bounds on the number of scattering poles for perturbations of the Laplacian
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- Vodev, G. Commun.Math. Phys. (1992) 146: 205. doi:10.1007/BF02099213
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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)≦Crn+C is proved.