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Riemann-Hilbert boundary value problem for holomorphic functions. (Chinese. English summary) Zbl 0993.30024

The author discusses the Riemann-Hilbert boundary value problem for holomorphic functions in polycylinder domains. By using the theory of functions of several complex variables, she gives the necessary and sufficient conditions for its solvability and establishes the expression of its solution.

MSC:

30E25 Boundary value problems in the complex plane
35J55 Systems of elliptic equations, boundary value problems (MSC2000)
32A26 Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels)
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