The scattering problem in Ryckman's class of Jacobi matrices

Abstract

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 simple examples.

References in corpus (3)

• Jost Functions and Jost Solutions for Jacobi Matrices, I. A Necessary and Sufficient Condition for Szego Asymptotics
• Scattering Theory for Jacobi Operators with Quasi-Periodic Background
• Jost Functions and Jost Solutions for Jacobi Matrices, II. Decay and Analyticity