19 citations · 27 across the 10 of their papers we have counts for
10 papers
The Schur Algorithm in Terms of System Realization
Bernd Fritzsche, Victor Katsnelson, Bernd Kirstein
The main goal of this paper is to demonstrate the usefulness of certain ideas from System Theory in the study of problems from complex analysis. With this paper, we also aim to enc…
On H.Weyl and J.Steiner polynomials
Victor Katsnelson
The paper deals with root problems for two classes of univariate polynomials both of geometric origin. The first class discussed, the class of Steiner polynomial, consists of polyn…
Steiner-Minkowski Polynomials of Convex Sets in High Dimension, and Limit Entire Functions
Victor Katsnelson
For a convex set (K) of the (n)-dimensional Euclidean space, the Steiner-Minkowski polynomial (M_K(t)) is defined as the (n)-dimensional Euclidean volume of the neighborhood of the…
On the Theory of Matrix Valued Functions Belonging to the Smirnov Class
Victor Katsnelson, Bernd Kirstein
A theory of matrix-valued functions from the matricial Smirnov class ${\goth N}_n^+({\Bbb D})$ is systematically developed. In particular, the maximum principle of V.I.Smirnov, inn…
An Abstract Interpolation Problem and the Extension Theory of Hermitian Operators
Victor Katsnelson, Alexander Kheifets, Peter Yuditskii
The algebraic structure of V.P. Potapov's Fundamental Matrix Inequality (FMI) is discussed and its interpolation meaning is analyzed. Functional model spaces are involved. A genera…
On Transformation of Potapov's Fundamental Matrix Inequality
Victor Katsnelson
According to V.P.Potapov, a classical interpolation problem can be reformulated in terms of a so-called Fundamental Matrix Inequality (FMI). To show that every solution of the FMI…