Arov--Krein entropy functionals and indefinite interpolation problems
Functional Analysis
2020-07-03 v1 Classical Analysis and ODEs
Complex Variables
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.
Cite
@article{arxiv.1904.04277,
title = {Arov--Krein entropy functionals and indefinite interpolation problems},
author = {I. Roitberg and A. L. Sakhnovich},
journal= {arXiv preprint arXiv:1904.04277},
year = {2020}
}