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math.CV2008
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…
math.CV2007
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…
math.CV2007★ 1 cited
On H.Weyl and H.Minkowski Polynomials
Victor Katsnelson
We introduce certain polynomials, so-called H.Weyl and H.Minkowski polynomials, which have a geometric origin. The location of roots of these polynomials is studied.