Analytic regularity of CR maps into spheres
| dc.creator | Mir, Nordine | |
| dc.date | 2003-10-23 | |
| dc.date.accessioned | 2026-07-07T05:02:12Z | |
| dc.date.available | 2026-07-07T05:02:12Z | |
| dc.description | 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 $\C^N$. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/math/0310371 | |
| dc.identifier | http://arxiv.org/abs/math/0310371 | |
| dc.identifier | Math. Res. Lett., 10, no. 4, (2003), 447--457 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68962 | |
| dc.subject | Complex Variables | |
| dc.subject | 32H02, 32H04, 32V20 | |
| dc.title | Analytic regularity of CR maps into spheres | |
| dc.type | text |