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

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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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     author = {S. N. Kiyasov},
     title = {Estimates of the partial indices of the {H\"older} continuous $2\times2$ matrix functions},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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     publisher = {mathdoc},
     volume = {156},
     number = {1},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2014_156_1_a4/}
}
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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/