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On constructions of analytic discs

Univerza v Ljubljani

An analytic disc is a holomorphic map from the unit disc in C\mathbb{C} into some target space, for example Cn\mathbb{C}^n , which extends continuously up to the boundary. I will solve approximately a nonlinear Riemann-Hilbert boundary value problem and then I will present its applications in constructing analytic discs with certain properties.

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This activity is supported by the research projects EUR2024.153556, PID2023-150727NB-I00, PID2022-142559NB-I00, CNS2022-135390 CONSOLIDACION2022, PID2020-118137GB-I00, PID2020-117868GB-I00, PID2020-116126GB-I00.