Rational interpolation and mixed inverse spectral problem for finite CMV matrices

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For finite dimensional CMV matrices the mixed inverse spectral problem of reconstruction the matrix by its submatrix and a part of its spectrum is considered. A general rational interpolation problem which arises in solving the mixed inverse spectral problem is studied, and the description of the space of its solutions is given. We apply the developed technique to give sufficient conditions for the uniqueness of the solution of the mixed inverse spectral problem.
22 pages, LaTex file

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Spectral Theory, Classical Analysis and ODEs, 15A29; 42C05; 15A57

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http://salesiana.dossiersoluciones.com/handle/123456789/137993

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0709.2214
 http://arxiv.org/abs/0709.2214

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arXiv