Results 51 to 60 of about 434 (77)

Envelopes of Holomorphy of Domains in Cn

1991
This note is a survey on results and open problems in the theory of envelopes of holomorphy of domains in C n .
CASADIO TARABUSI, Enrico, TRAPANI S.
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Schlicht envelopes of holomorphy and topology

Mathematische Zeitschrift, 2009
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Globalizations, fiber bundles, and envelopes of holomorphy

Mathematische Zeitschrift, 2000
This paper concerns the problem proposed by J.-P. Serre whether a holomorphic fiber bundle with Stein fiber and Stein base is itself Stein. Let \(G\) be a real connected Lie group acting on a complex manifold \(X\) as holomorphic diffeomorphisms. The authors first define a complexification \(G^\mathbb{C}\) of \(G\) and then a globalization \(X^*\) of ...
CASADIO TARABUSI, Enrico, IANNUZZI A., TRAPANI S.   +2 more
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Envelopes for types of holomorphy

1981
In this article we define and construct the ϑ-envelope of holomorphy of X for every type ϑ where X is a Riemann domain over a complex Banach space E.
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On envelopes of holomorphy of model manifolds

Izvestiya: Mathematics, 2007
We 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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Envelopes of Holomorphy of Domains in Complex Lie Groups

2015
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ON ORBIT CONNECTEDNESS, ORBIT CONVEXITY, AND ENVELOPES OF HOLOMORPHY

Russian Academy of Sciences. Izvestiya Mathematics, 1995
The 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, 2006
A 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, 1986
Let 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, 1976
Let 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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