Riemann-Hilbert problem for \(N\)-analytic functions (Q2764453)

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scientific article; zbMATH DE number 1690435
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Riemann-Hilbert problem for \(N\)-analytic functions
scientific article; zbMATH DE number 1690435

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    11 February 2003
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    Riemann-Hilbert boundary value problem
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    \(N\)-analytic functions
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    extension of symmetry
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    Riemann-Hilbert problem for \(N\)-analytic functions (English)
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    The authors discuss the Riemann-Hilbert boundary value problem in a line including the infinity point for \(N\)-analytic functions. By extension of symmetry with respect to the real axis for \(N\)-analytic functions they transform the Riemann-Hilbert problem into a Riemann problem with an addition condition and then establish a theorem of solvability for the Riemann-Hilbert problem in the case of \(N\)-analytic functions.
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