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 $$\mathbb R^n$$, $$n\geq3$$ odd. The methods used here are based on those of T. Christiansen [Math. Res. Lett. 6, No. 2, 203–211 (1999; Zbl 0947.35102)]

MSC:

 35P25 Scattering theory for PDEs 30D30 Meromorphic functions of one complex variable (general theory) 30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory 47F05 General theory of partial differential operators

Zbl 0947.35102