We give a complete solution of the scattering problem for Jacobi matrices from a class which was recently introduced by E. Ryckman. We characterize the scattering data for this class and illustrate the inverse scattering on some examples.
Cite this article
Leonid B. Golinskii, Alexander Kheifets, Peter Yuditskii, On the scattering problem in Ryckman's class of Jacobi matrices. J. Spectr. Theory 1 (2011), no. 2, pp. 111–121DOI 10.4171/JST/5