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Rational contractive and unitary interpolants in realized form

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Abstract

A solution of the rational Nehari problem is given in terms of a realization. Other aspects of this problem, like one step extension, maximum entropy interpolants and unitary interpolants, are also analyzed for the rational case. The results are based on earlier work of H. Dym and I. Gohberg.

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Dedicated to M.S. Livšic on the occasion of his seventieth birthday, with admiration

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Gohberg, I., Kaashoek, M.A. & van Schagen, F. Rational contractive and unitary interpolants in realized form. Integr equ oper theory 11, 105–127 (1988). https://doi.org/10.1007/BF01236656

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