Rafael del Rio, Mikhail Kudryavtsev, Luis O. Silva
Published 2011-06-22, updated 2013-01-10Version 4
We consider an inverse spectral problem for infinite linear mass-spring systems with different configurations obtained by changing the first mass. We give results on the reconstruction of the system from the spectra of two configurations. Necessary and sufficient conditions for two real sequences to be the spectra of two modified systems are provided.
Comments: 25 pages, 2 figures. Typos were corrected, two remarks were added, material added to Sec.4
Inverse problems for Jacobi operators III: Mass-spring perturbations of semi-infinite systems
Inverse problems for Jacobi operators IV: Interior mass-spring perturbations of semi-infinite systems
Spectral analysis for semi-infinite mass-spring systems
![QR code for arXiv:1106.4598 [math-ph]](http://oss.arxitics.com/images/favicon.svg)