Domains of biregularity in Clifford analysis
Brackx, Freddy, Pincket, Willy
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Brackx, Freddy, Pincket, Willy
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Armen Edigarian (2004)
Annales Polonici Mathematici
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We show that the symmetrized bidisc 𝔾₂ = {(λ₁+λ₂,λ₁λ₂):|λ₁|,|λ₂| < 1} ⊂ ℂ² cannot be exhausted by domains biholomorphic to convex domains.
Łukasz Kosiński, Tomasz Warszawski (2013)
Annales Polonici Mathematici
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In 1984 L. Lempert showed that the Lempert function and the Carathéodory distance coincide on non-planar bounded strongly linearly convex domains with real-analytic boundaries. Following his paper, we present a slightly modified and more detailed version of the proof. Moreover, the Lempert Theorem is proved for non-planar bounded strongly linearly convex domains.
Nikolai Nikolov (2006)
Annales Polonici Mathematici
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We prove that the symmetrized polydisc cannot be exhausted by domains biholomorphic to convex domains.
Tadeusz Dobrowolski (2011)
Bulletin of the Polish Academy of Sciences. Mathematics
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CEP stands for the compact extension property. We characterize nonlocally convex complete metric linear spaces with convex-hereditary CEP.
Delanghe, Richard, Brackx, Freddy, Pincket, Willy
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Zyskowski, Janusz (2015-11-13T12:11:38Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Rade Živaljević (1979)
Publications de l'Institut Mathématique
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