Abstract
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.
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Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 217, 1994, pp. 5–15
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Abakumov, E.V. The inverse spectral problem for finite-rank Hankel operators. J Math Sci 85, 1759–1766 (1997). https://doi.org/10.1007/BF02355284
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DOI: https://doi.org/10.1007/BF02355284