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math.SP2007
Rational interpolation and mixed inverse spectral problem for finite CMV matrices
Leonid Golinskii, Mikhail Kudryavtsev
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 in…
math-ph2007
Lieb--Thirring bounds for complex Jacobi matrices
L. Golinskii, S. Kupin
We obtain various versions of classical Lieb--Thirring bounds for one- and multi-dimensional complex Jacobi matrices. Our method is based on Fan-Mirski Lemma and seems to be fairly…
math.SP2007★ 2 cited
An inverse spectral theory for finite CMV matrices
Leonid Golinskii, Mikhail Kudryavtsev
For finite dimensional CMV matrices the classical inverse spectral problems are considered. We solve the inverse problem of reconstructing a CMV matrix by its Weyl's function, the…