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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
On $\mathbb{R}$-linear conjugation problem on the unit circle
L. Primachuka, S. Rogozinb, M. Dubatovskayab a Department of Mathematics and Mechanics,
Belarusian State University,
4 Nezavisismosti Ave,
220030 Minsk, Belarus
b Department of Economics,
Belarusian State University,
4 Nezavisismosti Ave,
220030 Minsk, Belarus
Аннотация:
A new method of finding a solution to the $\mathbb{R}$-linear conjugation problem on the unit circle
is proposed. The problem is studied under the assumption that its main coefficient is a segment of the
Fourier series. The applied method is based on reducing the considered problem to the vector-matrix
boundary value problem and applying the recently suggested generalization of G. N. Chebotarev's
approach to the factorization of triangular matrix functions to its matrix coefficient.
Ключевые слова и фразы:
$\mathbb{R}$-linear conjugation problem, vector-matrix $\mathbb{C}$-linear conjugation problem, continuous fractions, factorization, partial indices.
Поступила в редакцию: 06.06.2019
Образец цитирования:
L. Primachuk, S. Rogozin, M. Dubatovskaya, “On $\mathbb{R}$-linear conjugation problem on the unit circle”, Eurasian Math. J., 11:3 (2020), 79–88
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj376 https://www.mathnet.ru/rus/emj/v11/i3/p79
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Страница аннотации: | 139 | PDF полного текста: | 61 | Список литературы: | 16 |
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