Abstract
According to V.P. Potapov, a classical interpolation problem can be reformulated in terms of a so-called Fundamental Matrix Inequality (FMI). To show that every solution of the FMI satisfies the interpolation problem, we usually have to transform the FMI in some special way. In this paper a number of the transformations of the FMI which come into play are motivated and demonstrated by simple, but typical examples.
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References
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Katsnelson, V.E. (1997). On transformations of Potapov’s fundamental matrix inequality. In: Dym, H., Katsnelson, V., Fritzsche, B., Kirstein, B. (eds) Topics in Interpolation Theory. Operator Theory Advances and Applications, vol 95. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8944-5_12
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DOI: https://doi.org/10.1007/978-3-0348-8944-5_12
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