This article is cited in 2 papers

On a class of Holder matrix functions of the second order admitting an effective factorization

S. N. Kiyasov

Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia

Abstract: Holder matrix-functions of the second order are considered. We assume that one element is arbitrary, diagonal elements do not vanish on the contour, and the choice of the last element determines the possibility of their effective factorization.

Keywords: matrix-function, linear conjugation problem, factorization.

UDC: 517.544

Received: 22.12.2021
Revised: 22.12.2021
Accepted: 08.04.2022

DOI: 10.26907/0021-3446-2022-10-66-72

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2022, 66:10, 56–61