On transformations of Potapov’s fundamental matrix inequality

Victor E. Katsnelson

doi:10.1007/978-3-0348-8944-5_12

On transformations of Potapov’s fundamental matrix inequality

Victor E. Katsnelson

https://doi.org/10.1007/978-3-0348-8944-5_12

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Publication Date: Jan 1, 1997

Citations: 16

Affiliation: Weizmann Institute of Science

#Fundamental Matrix Inequality #Classical Interpolation Problem + Show 5 more

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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.AMS Subject Classification30D5046E10

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