We study the Schwarz problem for J-analytic functions in the case where the Jordan basis Q of the matrix J has real vectors and the Jordan form J1 of J contains Jordan (2×2)-cells, whereas the order of real columns of the matrix Q depends on the structure of J1. We prove the existence and uniqueness of a solution to the Schwarz problem in Hölder classes. Bibliography: 4 titles.
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Translated from Problemy Matematicheskogo Analiza 104, 2020, pp. 75-83.
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Nikolaev, V.G. On the Schwarz Problem in the Case of Matrices with Nondiagonal Jordan Forms. J Math Sci 250, 83–93 (2020). https://doi.org/10.1007/s10958-020-05000-y
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DOI: https://doi.org/10.1007/s10958-020-05000-y