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Remarks on the distribution of resonances in odd dimensional Euclidean scattering. (English) Zbl 1116.35344
From the introduction: We present some elementary applications of the theory of meromorphic functions to scattering theory, in particular, to the distribution of resonances (or scattering poles) for a compactly supported perturbation of the Laplacian in $\Bbb R^n$, $n\ge3$ odd. The methods used here are based on those of {\it T. Christiansen} [Math. Res. Lett. 6, No. 2, 203--211 (1999; Zbl 0947.35102)]

35P25Scattering theory (PDE)
30D30General theory of meromorphic functions
30D35Distribution of values (one complex variable); Nevanlinna theory
47F05Partial differential operators