On the distribution of scattering poles for perturbations of the Laplacian
Georgi Vodev (1992)
Annales de l'institut Fourier
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We consider selfadjoint positively definite operators of the form (not necessarily elliptic) in , , odd, where is a second-order differential operator with coefficients of compact supports. We show that the number of the scattering poles outside a conic neighbourhood of the real axis admits the same estimates as in the elliptic case. More precisely, if are the scattering poles associated to the operator repeated according to multiplicity, it is proved that for any there exists...