The inverse spectral problem for finite rank Hankel operators

The following theorem is proved. Let $\Lambda$ be a divisor of $n$ points of the unit disk, and let $\sigma_1,\sigma_2,\dots,\sigma_n$ be a finite sequence of non-zero complex numbers. Then there exists a Hankel operator $\Gamma$ of rank $n$ such that the divisor of the poles of its symbol is $\Lambda$ and the eigenvalues of $\Gamma$ (counted with the multiplicities) are $\sigma_1,\sigma_2,\dots,\sigma_n$. Bibliography: 11 titles.