On the inverse resonance problem.

Autor: Rudi Weikard .
Inverse spectral and scattering problems are a classical subject in mathematical physics. In this talk we present a particular variant: the inverse resonance problem in one dimension, particularly for the Schrödinger equation. In addition to the uniqueness question we investigate which information may be contained from finite noisy data. This is of interest, since, in practical settings, one cannot expect to obtain all the necessary data and, in any case, recovery algorithms cannot make use of all data even if they were available.