@MISC{Dym_reproducingkernels, author = {Harry Dym}, title = {REPRODUCING KERNELS AND RICCATI EQUATIONS}, year = {} }
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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.