This work gives results on the interplay of the spectra of two Jacobi operators corresponding
to an infinite mass-spring system and a modification of it obtained by changing one mass …

Consider an infinite linear mass-spring system and a modification of it obtained by changing
the first mass and spring of the system. We give results on the interplay of the spectra of such …

We consider semi-infinite Jacobi matrices with discrete spectrum. We prove that a Jacobi
operator can be uniquely recovered from one spectrum and subsets of another spectrum …

We study how the spectrum of a Jacobi operator changes when this operator is modified by
a certain finite rank perturbation. The operator corresponds to an infinite mass‐spring …

In this note, we solve an inverse spectral problem for a class of finite band symmetric
matrices. We provide necessary and sufficient conditions for a matrix valued function to be a …

This work deals with the direct and inverse spectral analysis for a class of infinite band
symmetric matrices. This class corresponds to operators arising from difference equations …