Results 21 to 30 of about 434 (77)
The envelope of holomorphy of a truncated tube [PDF]
Proceedings of the American Mathematical Society, 1991 A counterexample is constructed to show an essential difference between local and global CR extensions in tube domains.
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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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Plurisubharmonicity of envelopes of disc functionals on manifolds
, 2002 We show that a disc functional on a complex manifold has a plurisubharmonic envelope if all its pullbacks by holomorphic submersions from domains of holomorphy in affine space do and it is locally bounded above and upper semicontinuous in a certain weak ...
Larusson, Finnur, Sigurdsson, Ragnar
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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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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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Quantum polydisk, quantum ball, and a q-analog of Poincar\'e's theorem
, 2013 The classical Poincar\'e theorem (1907) asserts that the polydisk $\mathbb D^n$ and the ball $\mathbb B^n$ in $\mathbb C^n$ are not biholomorphically equivalent for $n\ge 2$.
Pirkovskii, A. Yu.
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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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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
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Maximal Complexifications of Certain Riemannian Homogeneous Manifolds
, 2002 A characterization of maximal domains of existence of adapted complex structures for Riemannian homogeneous manifolds under certain extensibility assumptions on their geodesic flow is given.
Halverscheid, S., Iannuzzi, A.
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