Remarks on the distribution of resonances in odd dimensional Euclidean scattering. (English) Zbl 1116.35344

Sá Barreto, Antonio

Asymptotic Anal. 27, No. 2, 161-170 (2001).

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

Citations:

Zbl 0947.35102