The inverse spectral problem for finite-rank Hankel operators

The following theorem is proved. Let Λ be a divisor of n points of the unit disk and let σ₁, σ₂,...σ _n be a finite sequence of nonzero complex numbers. Then there exists a Hankel operator Γ of rank n such that the divisor of the poles of its symbol is Λ and the eigenvalues of Γ (counted with the multiplicities) are σ₁, σ₂,...σ _n Bibliography: 11 titles. Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 217, 1994, pp. 5–15