On domains of monogenicity in Clifford analysis
Delanghe, Richard, Brackx, Freddy, Pincket, Willy
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Displaying similar documents to “Domains of biregularity in Clifford analysis”
On domains of monogenicity in Clifford analysis
The symmetrized polydisc cannot be exhausted by domains biholomorphic to 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.
The generalized three circle- and other convexity theorems with application to the construction of envelopes of holomorphy
H. J. Borchers (1977)
Annales de l'I.H.P. Physique théorique
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A note on Costara's paper
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.
Lempert theorem for strongly linearly 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.
Convexity, C-convexity and Pseudoconvexity Изпъкналост, c-изпъкналост и псевдоизпъкналост
Nikolov, Nikolai (2011)
Union of Bulgarian Mathematicians
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Николай М. Николов - Разгледани са характеризации на различни понятия за изпъкналост, като тези понятия са сравнени. We discuss different characterizations of various notions of convexity as well as we compare these notions. *2000 Mathematics Subject Classification: 32F17.
Finite Coverings by Translates of Centrally Symmetric Convex Domains.
Fejes G. Tóth (1987)
Discrete & computational geometry
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