@misc{Dym_Harry_Reproducing, author={Dym, Harry}, howpublished={online}, publisher={Zielona Góra: Uniwersytet Zielonogórski}, language={eng}, abstract={The purpose of this paper is to exhibit a connection between the Hermitian solutions of matrix Riccati equations and a class of finite dimensional reproducing kernel Krein spaces. This connection is then exploited to obtain minimal factorizations of rational matrix valued functions that are J-unitary on the imaginary axis in a natural way.}, type={artykuł}, title={Reproducing kernels and Riccati equations}, keywords={Riccati equations, Lyapunov equations, reproducing kernel spaces, de Branges spaces, J-inner matrix valued functions, J-unitary matrix valued functions}, }