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Factorization of matrix functions and characteristic properties of the circle
Authors:Ilya Krupnik  Alexander Markus  Vladimir Matsaev
Affiliation:(1) Dept. of Mathematics and Comp. Sciences, Ben-Gurion University of the Negev, 84105 Beer-Sheva, ISRAEL;(2) School of Math. Sciences Raymond and Beverly Sackler Faculty of Exact Sciences, Tel-Aviv University, 69978 Ramat-Aviv, ISRAEL
Abstract:In the present paper we discuss two problems on factorizations of matrix-valued functions with respect to a simple closed rectifiable curve Gamma. These two problems are related and we show that in both of them circular contours play a remarkable role.
Keywords:Primary 47A56  Secondary 47A68
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