Carleman's formula for solutions of the generalized Cauchy--Riemann system in multidimensional spatial domain
Contemporary Mathematics. Fundamental Directions, Contemporary problems in mathematics and physics, Tome 65 (2019) no. 1, pp. 95-108

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In this paper, we consider the restoration problem for solutions of the generalized Cauchy–Riemann system in a multidimensional spatial domain using their values on a piece of the boundary of the domain, i. e., the Cauchy problem. We construct an approximate solution of this problem based on the Carleman matrix method.
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     author = {E. N. Sattorov and F. E. Ermamatova},
     title = {Carleman's formula for solutions of the generalized {Cauchy--Riemann} system in multidimensional spatial domain},
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E. N. Sattorov; F. E. Ermamatova. Carleman's formula for solutions of the generalized Cauchy--Riemann system in multidimensional spatial domain. Contemporary Mathematics. Fundamental Directions, Contemporary problems in mathematics and physics, Tome 65 (2019) no. 1, pp. 95-108. http://geodesic.mathdoc.fr/item/CMFD_2019_65_1_a8/