Constrained extremal problems in the Hardy space H2 and Carleman's formulas

作者: Fabien Seyfert , Laurent Baratchart , Juliette Leblond

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摘要: We study some approximation problems on a strict subset of the circle by analytic functions Hardy space H2 unit disk (in C), whose modulus satisfy pointwise constraint complentary part circle. Existence and uniqueness results, as well saturation constraint, are established. also derive critical point equation which gives rise to dual formulation problem. further compute directional derivatives for this functional computational means approach issue. then consider finite-dimensional polynomial version bounded extremal

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