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arXiv · 1510.01513

On the Riemann-Hilbert problem for analytic functions in circular domains

A. S. Efimushkin·V. I. Ryazanov
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Abstract

It is proved the existence of single-valued analytic solutions in the unit disk and multivalent analytic solutions in domains bounded by a finite collection of circles for the Riemann-Hilbert problem with coefficients of sigma-finite variation and with boundary data that are measurable with respect to logarithmic capacity. It is shown that these spaces of solutions have the infinite dimension.

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A. S. Efimushkin, V. I. Ryazanov. 2015-10-06. On the Riemann-Hilbert problem for analytic functions in circular domains. https://arxiv.org/abs/1510.01513

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