An inverse spectral theory for finite CMVmatrices
Leonid Borisovich Golinskii, Mikhail Kudryavtsev · Inverse Problems and Imaging · 2010
For finite dimensional CMV matrices the classical inverse spectralproblems are considered. We solve the inverse problem ofreconstructing a CMV matrix by its Weyl's function, the problem ofreconstructing the matrix by two spectra of CMV operators withdifferent 'boundary condition'', and the problem of reconstructinga CMV matrix by its spectrum and the spectrum of the CMV matrixobtained from it by unitary truncation.