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On envelopes of holomorphy of model manifolds
Izvestiya: Mathematics, 2007We construct envelopes of holomorphy for model manifolds of order 4 and describe a class of such manifolds whose envelope is a cylindrical domain (with respect to certain variables) based on a Siegel domain of the second kind. This enables us to prove the holomorphic rigidity of model manifolds of this class. We also study the envelope of holomorphy of
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ON ORBIT CONNECTEDNESS, ORBIT CONVEXITY, AND ENVELOPES OF HOLOMORPHY
Russian Academy of Sciences. Izvestiya Mathematics, 1995The author studies the envelope of holomorphy \(E(D)\) for a domain \(D\) having a certain Lie group action. Thus, if \(K\) is a compact real Lie group and \(K^\mathbb{C}\) is its universal complexification, if \(X\) is a Stein \(K^\mathbb{C}\)-manifold and \(D \subset X\) is a \(K\)-invariant orbit connected domain, then \(E(D)\) is schlicht and orbit
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Envelopes of holomorphy of Jordan curves in ℂn
Proceedings of the Steklov Institute of Mathematics, 2006A comprehensive answer is given to two related questions: (i) Can continuous functions be approximated by holomorphic ones on Jordan curves in ℂn (A.G. Vitushkin, 1964)? (ii) Is any Jordan curve in ℂn holomorphically convex (E.L. Stout, 1970)?
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Envelopes of holomorphy of compacta with analytic structure
Ukrainian Mathematical Journal, 1986Let X be a Stein manifold and let \(X_{\alpha}\) be a domain such that \(p_{\alpha}: X_{\alpha}\to X\) is ramified over X. Let S be the category of projective limits of ramified domains \(X_{\alpha}\). It is shown that there is a well-defined operation of taking envelopes of holomorphy within this category.
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SEPARATELY ANALYTIC FUNCTIONS, GENERALIZATIONS OF HARTOGS' THEOREM, AND ENVELOPES OF HOLOMORPHY
Mathematics of the USSR-Sbornik, 1976Let and be arbitrary Stein manifolds, and compact sets, and . Under certain general hypotheses it is proved that a function on which is separately analytic, i.e. for which is analytic in in for any fixed and analytic in in for any fixed , extends to an analytic function in some open neighborhood of which is the envelope of holomorphy of ...
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On Sheaf Cohomology and Envelopes of Holomorphy
The Annals of Mathematics, 1966openaire +1 more source
Mechanisms and functions of nuclear envelope remodelling
Nature Reviews Molecular Cell Biology, 2017Ulrike Kutay
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