Results 21 to 30 of about 545 (82)
Some open problems on the envelope of holomorphy
Concrete OperatorsThis article introduces a collection of new open problems in the theory of the envelope of holomorphy and the schlichtness phenomenon. In particular, some of our problems focus on the class of truncated tube domains.
Hazra Suprokash
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An extension theorem for separately holomorphic functions with pluripolar singularities
, 2002 Let $D_j\subset\Bbb C^{n_j}$ be a pseudoconvex domain and let $A_j\subset D_j$ be a locally pluriregular set, $j=1,...,N$. Put $$ X:=\bigcup_{j=1}^N A_1\times...\times A_{j-1}\times D_j\times A_{j+1}\times ...\times A_N\subset\Bbb C^{n_1}\times...\times ...
Jarnicki, Marek, Pflug, Peter
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Uniformization of strictly pseudoconvex domains
, 2004 It is shown that two strictly pseudoconvex Stein domains with real analytic boundaries have biholomorphic universal coverings provided that their boundaries are locally biholomorphically equivalent.
Nemirovski, Stefan, Shafikov, Rasul
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A Short Proof of the Maximum Conjecture in CR Dimension one
پژوهشهای ریاضی, 2019 Introduction In this paper and by employing some certain techniques and results arisen in the theory of Tanaka, we provide a short proof for the maximum conjecture on the rigidity of Beloshapka's models of the specific CR dimension one and of length . As
Masoud Sabzevari
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Cross theorems with singularities
, 2009 We establish extension theorems for separately holomorphic mappings defined on sets of the form W\setminus M with values in a complex analytic space which possesses the Hartogs extension property.
B. Coupet +28 more
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Holomorphic extension of CR functions, envelopes of holomorphy, and removable singularities [PDF]
International Mathematics Research Surveys, 2010 283 pages ; 33 illustrations ; 16 open problems http://www.hindawi.com/journals/imrs/
Merker, Joël, Porten, Egmont
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Spectrum and envelope of holomorphy for infinite dimensional riemann domains
Mathematische Annalen, 1983 openaire +3 more sources
Invariant envelopes of holomorphy in the complexification of a Hermitian symmetric space [PDF]
, 2013 In this paper we investigate invariant domains in $\, \Xi^+$, a distinguished $\,G$-invariant, Stein domain in the complexification of an irreducible Hermitian symmetric space $\,G/K$.
Geatti, Laura, Iannuzzi, Andrea
core
A schlichtness theorem for envelopes of holomorphy [PDF]
Mathematische Zeitschrift, 2006 Let Omega be a domain in C^2. We prove the following theorem. If the envelope of holomorphy of Omega is schlicht over Omega, then the envelope is in fact schlicht. We provide examples showing that the theorem is not true in C^n, n>2. Additionally, we show that the theorem cannot be generalized to provide information about domains in C^2 whose ...
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