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Annales Polonici Mathematici
Article . 2003 . Peer-reviewed
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Noguchi-type convergence-extension theorems for (n,d)-sets

Noguchi-type convergence-extension theorems for \((n,d)\)-sets
Authors: Do Duc Thai; Nguyen Thi Tuyet Mai; Nguyen Thai Son;

Noguchi-type convergence-extension theorems for (n,d)-sets

Abstract

The authors obtain several results concerning, in their terminology, `Noguchi-type' extensions of holomorphic mappings. This means that mappings should be extended across suitable subsets in such a way that locally uniform convergence is inhertited by the extensions. The emphasis of the authors is on studying the situation for subsets that are more general than analytic hypersurfaces of complex manifolds.

Keywords

removable singularities, extension of holomorphic maps, Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, locally uniform convergence, Removable singularities in several complex variables

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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