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arXiv math/0310371math.CV

Analytic regularity of CR maps into spheres

Nordine Mir

英文摘要:

Let $M$ be a connected real-analytic hypersurface in $\C^N$ and $§$ the unit real sphere in $\C^{N'}$, $N'> N\geq 2$. Assume that $M$ does not contain any complex-analytic hypersurface of $\C^N$ and that there exists at least one strongly pseudoconvex point on $M$. We show that any CR map $f\colon M\to §$ of class $C^{N'-N+1}$ extends holomorphically to a neighborhood of $M$ in $\C^N$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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