B. M. Brown and R. Weikard
The inverse resonance problem for 
perturbations of algebro-geometric potentials
(299K, PDF)

ABSTRACT.  We prove that a compactly supported perturbation of a rational or simply periodic algebro-geometric potential of the one-dimensional Schr\"odinger equation on the half line is uniquely determined by the location of its Dirichlet eigenvalues and resonances.