Factorization of matrix functions and characteristic properties of the circle

Ilya Krupnik; Alexander Markus; Vladimir Matsaev

doi:10.1007/BF01200394

Factorization of matrix functions and characteristic properties of the circle

Ilya Krupnik
, Alexander Markus
, Vladimir Matsaev

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

In the present paper we discuss two problems on factorizations of matrix-valued functions with respect to a simple closed rectifiable curve Γ. These two problems are related and we show that in both of them circular contours play a remarkable role.

Original language	English
Pages (from-to)	554-566
Number of pages	13
Journal	Integral Equations and Operator Theory
Volume	17
Issue number	4
DOIs	https://doi.org/10.1007/BF01200394
State	Published - 1 Dec 1993

Keywords

MSC 1991: Primary 47A56, Secondary 47A68

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

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10.1007/BF01200394

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title = "Factorization of matrix functions and characteristic properties of the circle",

abstract = "In the present paper we discuss two problems on factorizations of matrix-valued functions with respect to a simple closed rectifiable curve Γ. These two problems are related and we show that in both of them circular contours play a remarkable role.",

keywords = "MSC 1991: Primary 47A56, Secondary 47A68",

author = "Ilya Krupnik and Alexander Markus and Vladimir Matsaev",

year = "1993",

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T1 - Factorization of matrix functions and characteristic properties of the circle

AU - Krupnik, Ilya

AU - Markus, Alexander

AU - Matsaev, Vladimir

PY - 1993/12/1

Y1 - 1993/12/1

N2 - In the present paper we discuss two problems on factorizations of matrix-valued functions with respect to a simple closed rectifiable curve Γ. These two problems are related and we show that in both of them circular contours play a remarkable role.

AB - In the present paper we discuss two problems on factorizations of matrix-valued functions with respect to a simple closed rectifiable curve Γ. These two problems are related and we show that in both of them circular contours play a remarkable role.

KW - MSC 1991: Primary 47A56, Secondary 47A68

UR - https://www.scopus.com/pages/publications/0042154075

U2 - 10.1007/BF01200394

DO - 10.1007/BF01200394

M3 - Article

AN - SCOPUS:0042154075

SN - 0378-620X

VL - 17

SP - 554

EP - 566

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

IS - 4

ER -

Factorization of matrix functions and characteristic properties of the circle

Abstract

Keywords

ASJC Scopus subject areas

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