论文标题
典型哈密顿系统的逆光谱问题的周期性近似
Periodic approximations in inverse spectral problems for canonical Hamiltonian systems
论文作者
论文摘要
该注释专门用于半线的典型哈密顿系统的反频谱问题。在系统的光谱度量是局部有限的周期性措施时，基于使用截短的Toeplitz运算符的使用逆光谱问题的方法特别有效（请参阅\ cite {MP}）。在本说明中，我们通过考虑光谱度量的周期化并表明与周期性相对应的汉密尔顿人的周期化，将周期性算法扩展到了非周期性措施的情况。
This note is devoted to inverse spectral problems for canonical Hamiltonian systems on the half-line. An approach to inverse spectral problems based on the use of truncated Toeplitz operators has been especially effective in the case when the spectral measure of the system is a locally finite periodic measure (see \cite{MP}). In this note we extend the periodic algorithm to the case of non-periodic measures by considering periodizations of a spectral measure and showing that the Hamiltonians corresponding to the periodizations converge to the Hamiltonian of the original measure.
