February  2010, 4(1): 93-110. doi: 10.3934/ipi.2010.4.93

An inverse spectral theory for finite CMV matrices

1. 

Institute for Low Temperature Physics and Engineering, 47 Lenin ave., Kharkov, 61103, Ukraine, Ukraine

Received  December 2008 Revised  October 2009 Published  February 2010

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.
Citation: Leonid Golinskii, Mikhail Kudryavtsev. An inverse spectral theory for finite CMV matrices. Inverse Problems & Imaging, 2010, 4 (1) : 93-110. doi: 10.3934/ipi.2010.4.93
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