Estimates of the partial indices of the Hölder continuous $2\times2$ matrix functions
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 156 (2014) no. 1, pp. 44-50 Cet article a éte moissonné depuis la source Math-Net.Ru

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We obtain estimates of the partial indices of $2\times2$ matrix functions. This estimates depend on the total index of the matrix function, the Cauchy indices of its elements and the number of linearly independent solutions of certain linear algebraic systems.
Keywords: matrix function, factorization
Mots-clés : partial indices.
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     title = {Estimates of the partial indices of the {H\"older} continuous $2\times2$ matrix functions},
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S. N. Kiyasov. Estimates of the partial indices of the Hölder continuous $2\times2$ matrix functions. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 156 (2014) no. 1, pp. 44-50. http://geodesic.mathdoc.fr/item/UZKU_2014_156_1_a4/

[1] Kiyasov S. N., “Issledovanie razreshimosti i otsenki chisla reshenii odnogo klassa singulyarnykh integralnykh uravnenii”, Sib. matem. zhurn., 41:6 (2000), 1357–1362 | MR | Zbl

[2] Litvinchuk T. S., Spitkovskii I. M., “Tochnye otsenki defektnykh chisel obobschennoi kraevoi zadachi Rimana”, Dokl. AN SSSR, 255:5 (1980), 1042–1046 | MR | Zbl

[3] Litvinchuk T. S., Spitkovskii I. M., “Tochnye otsenki defektnykh chisel obobschennoi kraevoi zadachi Rimana, faktorizatsiya ermitovykh matrits-funktsii i nekotorye problemy priblizheniya meromorfnymi funktsiyami”, Matem. sbornik, 117(159):2 (1982), 196–215 | MR | Zbl

[4] Kiyasov S. N., “Effektivnye otsenki chisla reshenii odnogo klassa singulyarnykh integralnykh uravnenii”, Differents. uravneniya, 38:9 (2002), 1190–1198 | MR | Zbl

[5] Vekua N. P., Sistemy singulyarnykh integralnykh uravnenii i nekotorye granichnye zadachi, Nauka, M., 1970, 380 pp. | MR | Zbl