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 Szegő limit formula for this nonclassical case are considered in greater detail.MSC(2010): 15B05; 28D20; 30E05; 47B35