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Sharp bounds on the number of scattering poles for perturbations of the Laplacian

Authors:	Georgi Vodev

Affiliation:	(1) Section of Mathematical Physics, Institute of Mathematics, Bulgarian Academy of Sciences, BG-1113 Sofia, Bulgaria

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 ⁿ,n3, odd, are obtained. In particular, in the elliptic case the estimateN(r)Crⁿ+C is proved.Partially supported by Bulgarian Scientific Fondation under grant no. MM8/91

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