Mathematics – Spectral Theory
Scientific paper
2007-09-14
Mathematics
Spectral Theory
22 pages, LaTex file
Scientific paper
For finite dimensional CMV matrices the mixed inverse spectral problem of reconstruction the matrix by its submatrix and a part of its spectrum is considered. A general rational interpolation problem which arises in solving the mixed inverse spectral problem is studied, and the description of the space of its solutions is given. We apply the developed technique to give sufficient conditions for the uniqueness of the solution of the mixed inverse spectral problem.
Golinskii Leonid
Kudryavtsev Mikhail
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