An inverse spectral theory for finite CMV matrices

Abstract

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 matrices with different "boundary conditions", and the problem of reconstructing the CMV matrix by its spectrum and the spectrum of the CMV matrix obtained from it by truncation.

LaTeX, 15 pages

References in corpus (1)

• CMV: the unitary analogue of Jacobi matrices

Cited by in corpus (1)

• Rational interpolation and mixed inverse spectral problem for finite CMV matrices