论文标题
自偶会运算符的直接和反向频谱问题
Direct and inverse spectral problems for rank-one perturbations of self-adjoint operators
论文作者
论文摘要
对于给定的自动伴侣运营商$ a $带有离散频谱的$,我们完全表征了其排名一扰动的可能特征值〜$ b $,并讨论了从其光谱中重建$ b $的逆问题。
For a given self-adjoint operator $A$ with discrete spectrum, we completely characterize possible eigenvalues of its rank-one perturbations~$B$ and discuss the inverse problem of reconstructing $B$ from its spectrum.