An inverse spectral theory for finite CMV matrices

Details An inverse spectral theory for finite CMV matrices An inverse spectral theory for finite CMV matrices

2007-05-30

arxiv.org/abs/0705.4353v1

Mathematics

Spectral Theory

LaTeX, 15 pages

Scientific paper

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.

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