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 | ||||
| Tags | factorization problem, partial indices, Wiener algebra, Riemann boundary value problem, truncated Wiener–Hopf equation | ||||
| Authors |
|
||||
| Affiliations |
|
Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0009 |
Abstract:
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.
Cite:
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
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
Original:
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
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
Dates:
| Submitted: | Jun 19, 2022 |
| Accepted: | Dec 21, 2022 |
| Published print: | Jul 19, 2023 |
| Published online: | Jul 19, 2023 |
Identifiers:
| Web of science: | WOS:001035394400004 |
| Scopus: | 2-s2.0-85165032990 |
| Elibrary: | 62075013 |
| OpenAlex: | W4384911871 |