The Closure and the Interior of C-convex Sets

DOI10.17516/1997-1397-2019-12-4-475-482OpenAlexW2971480186MaRDI QIDQ5853415

S. V. Znamenskij

Publication date: 18 March 2021

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu786

zbMATH Keywords

strong linear convexitylineal convexityprojective convexity\( \mathbb{C} \)-convexityAizenberg-Martineau dualityfantappie transform

Mathematics Subject Classification ID

Real functions (26-XX) Convex and discrete geometry (52-XX)

Cites Work

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• Complex convexity and analytic functionals
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• Sur la topologie des espaces de fonctions holomorphes
• Decomposition of holomorphic functions of several complex variables into partial fractions
• Some properties of linearly convex domains with smooth boundaries in \(\mathbb{C}^ n\)
• Mutual dualities betweenA^−∞(Ω) and for lineally convex domains
• The symmetrized polydisc cannot be exhausted by domains biholomorphic to convex domains
• Notions of convexity

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