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Article Contents

# An inverse spectral theory for finite CMV matrices

• 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 problem of reconstructing the matrix by two spectra of CMV operators with different "boundary condition'', and the problem of reconstructing a CMV matrix by its spectrum and the spectrum of the CMV matrix obtained from it by unitary truncation.
Mathematics Subject Classification: Primary: 15A29; Secondary: 42C05, 15A57.

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