Titlebook: Current Trends in Analysis, its Applications and Computation; Proceedings of the 1 Paula Cerejeiras,Michael Reissig,Joachim Toft Conference

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BVP for the First Order Elliptic Systems in the PlaneIn this paper the Riemann-Hilbert type boundary value problem for generalized analytic vectors in plane domains bounded by smooth curves is considered. In some cases Noethericity conditions of the problem are given.

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Principal Higgs Bundles and Schottky RepresentationsSchottky representations are shown to be related to (., ., .) branes in the moduli space of Principal Higgs bundles over a compact Riemann surface.

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Extremal Decomposition of a Multidimensional Complex Space with Poles on the Boundary of a PolydiskIn the paper we obtain estimates of the maximums of products of generalized inner radii of mutually non-overlapping polycylindrical domains in .. The main theorems of the paper generalize and strengthening known results in the theory of non-overlapping domains with free poles on the unit circle onto the case of .-dimensional complex space.

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