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Holomorphic Extensi...
Holomorphic Extension from Weakly Pseudoconcave CR Manifolds
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Altomani, Andrea (författare)
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Hill, C. Denson (författare)
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Nacinovich, Mauro (författare)
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visa fler...
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- Porten, Egmont (författare)
- Mittuniversitetet,Institutionen för naturvetenskap, teknik och matematik (-2012)
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visa färre...
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(creator_code:org_t)
- 2010
- 2010
- Engelska.
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Ingår i: Rendiconti del Seminario Matematico della Universita di Padova. - 0041-8994 .- 2240-2926. ; 123, s. 69-90
- Relaterad länk:
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https://urn.kb.se/re...
Abstract
Ämnesord
Stäng
- Let M be a smooth locally embeddable CR manifold, having some CR dimension M and some CR codimension d. We find an improved local geometric condition on M which guarantees, at a point p on M, that germs of CR distributions are smooth functions, and have extensions to germs of holomorphic functions on a full ambient neighborhood of p. Our condition is a form of weak pseudoconcavity, closely related to essential pseudoconcavity as introduced in [HN1]. Applications are made to CR meromorphic functions and mappings. Explicit examples are given which satisfy our new condition, but which are not pseudoconcave in the strong sense. These results demonstrate that for codimension d > 1 there are additional phenomena, which are invisible when d = 1.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- MATHEMATICS
- MATEMATIK
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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