We establish conditions guaranteeing the possibility of reduction of a natural analog of the typical boundary-value problem for the Cauchy–Riemann system. The Riemann–Hilbert problem for a holo- morphic vector in a multidimensional domain is reduced to the integral Fredholm equation.
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Translated from Neliniini Kolyvannya, Vol. 21, No. 4, pp. 567–573, October–December, 2018.
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Tokibetov, Z.A., Sarsekeeva, A.S. & Boltirekova, R.A. Solution of the Riemann–Hilbert Problem for a Holomorphic Vector by the Bouligand-Giraud Method. J Math Sci 246, 445–451 (2020). https://doi.org/10.1007/s10958-020-04750-z
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DOI: https://doi.org/10.1007/s10958-020-04750-z