An inverse spectral theory for finite CMV matrices

2007/05/30 by Leonid Golinskii, Golinskii, Leonid, Mikhail Kudryavtsev +1 · 1 citation
Mathematics · #15A29 #15A57 #42C05 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Spectral Theory (math.SP) #math.CA #math.SP #msc:15A29 #msc:15A57 #msc:42C05

paper · pdf · doi:10.48550/arxiv.0705.4353

LaTeX, 15 pages

arxiv created 2007/05/30 · arxiv updated 2009/12/01

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.

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• Mirror symmetric polynomials orthogonal on the unit circle

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