Аннотация:
A new method of finding a solution to the 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:R-linear conjugation problem, vector-matrix C-linear conjugation problem, continuous fractions, factorization, partial indices.
Образец цитирования:
L. Primachuk, S. Rogozin, M. Dubatovskaya, “On R-linear conjugation problem on the unit circle”, Eurasian Math. J., 11:3 (2020), 79–88
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\by L.~Primachuk, S.~Rogozin, M.~Dubatovskaya
\paper On $\mathbb{R}$-linear conjugation problem on the unit circle
\jour Eurasian Math. J.
\yr 2020
\vol 11
\issue 3
\pages 79--88
\mathnet{http://mi.mathnet.ru/emj376}
\crossref{https://doi.org/10.32523/2077-9879-2020-11-3-79-88}
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Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj376
https://www.mathnet.ru/rus/emj/v11/i3/p79
Эта публикация цитируется в следующих 2 статьяx:
S. V. Rogosin, L. P. Primachuk, M. V. Dubatovskaya, “Factorization of the Partly Non-rational Matrix of Arbitrary Order”, Lobachevskii J Math, 44:9 (2023), 4054
Anastasia V. Kisil, I. David Abrahams, Gennady Mishuris, Sergei V. Rogosin, “The Wiener–Hopf technique, its generalizations and applications: constructive and approximate methods”, Proc. R. Soc. A., 477:2254 (2021)
Цитирование в формате AMSBIB
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