标题： 带内部质量-弹簧扰动的半无限Jacobi算子的反问题IV 显示英文标题

标题： Inverse problems for Jacobi operators IV: Interior mass-spring perturbations of semi-infinite systems

摘要： 这项工作研究了与一个无穷质量-弹簧系统及其通过改变系统的一个质量与一个弹簧所得到的修改版本对应的两个雅可比算子的谱之间的相互作用。 证明了可以从这两个谱恢复出该系统。 给出了两个序列成为质量-弹簧系统及其扰动系统的谱的充要条件。 显示英文摘要

摘要： 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 and one spring of the system. It is shown that the system can be recovered from these two spectra. Necessary and sufficient conditions for two sequences to be the spectra of the mass-spring system and the perturbed one are provided.