Arov--Krein entropy functionals and indefinite interpolation problems

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