Factorization of a Class of Matrix Functions in the Wiener Algebra of Order 2

Factorization of a Class of Matrix Functions in the Wiener Algebra of Order 2 Full article

Journal

Russian Mathematics
ISSN: 1066-369X , E-ISSN: 1934-810X

Output data

Year: 2023, Volume: 67, Number: 3, Pages: 32-41 Pages count : 10 DOI: 10.3103/s1066369x23030076

Funding (1)

Sobolev Institute of Mathematics

FWNF-2022-0009

A representative class of matrix functions from the Wiener algebra of order 2 admitting an effective factorization is found. The factorization problem for elements of this class is reduced to a truncated Wiener–Hopf equation with a contracting integral operator. The latter guarantees, as will be shown in the article, the existence of a canonical factorization and its explicit construction for matrix functions from the class under consideration.

Voronin A.F.
Factorization of a Class of Matrix Functions in the Wiener Algebra of Order 2
Russian Mathematics. 2023. V.67. N3. P.32-41. DOI: 10.3103/s1066369x23030076 WOS Scopus РИНЦ OpenAlex

Воронин A.Ф.
Построение факторизации одного класса матриц-функций в алгебре Винера порядка два
Известия высших учебных заведений. Серия: Математика. 2023. N3. P.41-51. DOI: 10.26907/0021-3446-2023-3-41-51 РИНЦ OpenAlex

Submitted:	Jun 19, 2022
Accepted:	Dec 21, 2022
Published print:	Jul 19, 2023
Published online:	Jul 19, 2023

Web of science:	WOS:001035394400004
Scopus:	2-s2.0-85165032990
Elibrary:	62075013
OpenAlex:	W4384911871

DB	Citing
OpenAlex	1