Geodesic
On a class of Holder matrix functions of the second order admitting an effective factorization
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2022), pp. 66-72.

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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. 
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S. N. Kiyasov. On a class of Holder matrix functions of the second order admitting an effective factorization. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2022), pp. 66-72. http://geodesic.mathdoc.fr/item/IVM_2022_10_a5/

[1] Vekua N. P., Sistemy singulyarnykh integralnykh uravnenii i nekotorye granichnye zadachi, Nauka, M., 1970 | MR

[2] Chebotarev G. N., “Chastnye indeksy kraevoi zadachi Rimana s treugolnoi matritsei vtorogo poryadka”, UMN, 11:3 (1956), 199–202 | MR | Zbl

[3] Adukov V. M., “Faktorizatsiya Vinera–Khopfa meromorfnykh matrits-funktsii”, Algebra i analiz, 4:1 (1992), 54–74

[4] Kiyasov S. N., “Nekotorye klassy zadach lineinogo sopryazheniya dlya dvumernogo vektora, razreshimye v zamknutoi forme”, Izv. vuzov. Matem., 2013, no. 1, 3–20 | MR | Zbl

[5] Gakhov F. D., Kraevye zadachi, Nauka, M., 1977

[6] Gakhov F. D., “Kraevaya zadacha Rimana dlya sistemy $n$ par funktsii”, UMN, 7:4 (1952), 3–54 | MR | Zbl

[7] Kiyasov S. N., “Ob odnom dopolnenii k obschei teorii zadachi lineinogo sopryazheniya dlya kusochno analiticheskogo vektora”, Sib. matem. zhurn., 59:2 (2018), 369–377 | MR | Zbl