Inverse Problems for Jacobi Operators II: Mass Perturbations of Semi-Infinite Mass-Spring Systems

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2013
• Main Authors: del Rio, R., Kudryavtsev, M., Silva, L.O.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106744
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Inverse Problems for Jacobi Operators II: Mass Perturbations of Semi-Infinite Mass-Spring Systems / R. del Rio, M. Kudryavtsev, L.O. Silva // Журнал математической физики, анализа, геометрии. — 2013. — Т. 9, № 2. — С. 165-190. — Бібліогр.: 28 назв. — англ.

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 suficient conditions for two real sequences to...