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CR extension for tube-like CR manifolds of CR dimension 1 - MaRDI portal

CR extension for tube-like CR manifolds of CR dimension 1 (Q2567503)

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CR extension for tube-like CR manifolds of CR dimension 1
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    CR extension for tube-like CR manifolds of CR dimension 1 (English)
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    5 October 2005
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    This paper deals with extendability of CR functions defined on embedded CR manifolds of CR dimension 1. After showing that wedge-extendability [see e.g., \textit{A. E. Tumanov}, Math. USSR, Sb. 64, No. 1, 129--140 (1989); translation from Mat. Sb., Nov. Ser. 136(178), No. 1(5), 128--139 (1988; Zbl 0692.58005)] does not satisfy some criteria of containment, comparability and uniformity, the author investigates different extension domains, in the specific case of tube-like generic submanifolds of \(\mathbb{C}^n\) of CR dimension 1.
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    \(CR\) functions
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    extendability
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