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On a problem of Solynin - MaRDI portal

On a problem of Solynin (Q2762264)

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scientific article; zbMATH DE number 1687437
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On a problem of Solynin
scientific article; zbMATH DE number 1687437

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    4 March 2003
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    harmonic measure
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    quadratic differential
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    On a problem of Solynin (English)
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    Various authors have solved the problem of determining the minimal harmonic measure at the origin of a continuum in the closed unit disk that meets each radius. \textit{A. Y. Solynin} [J. Anal. Math. 74, 1-50 (1998; Zbl 0908.30024)] recently gave an analytically implicit solution of the analogous problem where competing continua have a certain specific index about the origin. The author gives a simpler solution that also yields a geometrically explicit solution.
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