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arXiv · 1904.04277

Arov--Krein entropy functionals and indefinite interpolation problems

I. Roitberg·A. L. Sakhnovich
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Abstract

We generalize the notion of the Arov-Krein entropy functional for the case of generalized Nevanlinna functions and obtain a representation of these functionals on solutions of indefinite interpolation problems. The case of indefinite Caratheodory problem and application to Szeg\H{o} limit formula for this nonclassical case are considered in greater detail.

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BibTeXRIS

I. Roitberg, A. L. Sakhnovich. 2019-04-08. Arov--Krein entropy functionals and indefinite interpolation problems. https://doi.org/10.1007/s00020-019-2549-8

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