Inverse Problems for Finite Vector-Valued Jacobi Operators
E. L. Korotyaev
Abstract:We study resonances for Jacobi operators on the half lattice with matrix valued coefficient and finitely supported perturbations. We describe a forbidden domain, the geometry of resonances and their asymptotics when the main coefficient of the perturbation (determining its length of support) goes to zero. Moreover, we show that 1) Any sequence of points on the complex plane can be resonances for some Jacobi operators. In particular, the multiplicity of a resonance can be any number.2) The Jost determinant coin… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.