Holomorphic extension of decomposable distributions from a CR submanifold of $\mathbb C^L$
| dc.creator | Eisen, Nicolas | |
| dc.date | 2005-10-10 | |
| dc.date.accessioned | 2026-07-07T06:47:17Z | |
| dc.date.available | 2026-07-07T06:47:17Z | |
| dc.description | Given $N$ a non generic smooth CR submanifold of $\C^L$, $N=\{(\n,h(\n))\}$ where $\n$ is generic in $\C^{L-n}$ and $h$ is a CR map from $\n$ into $\C^n$. We prove, using only elementary tools, that if $h$ is decomposable at $p'\in \n$ then any decomposable CR distribution on $N$ at $p=(p',h(p'))$ extends holomorphically to a complex transversal wedge. This gives an elementary proof of the well known equivalent for totally real non generic submanifolds, i.e if $N$ is a smooth totally real submanifold of $\C^L$ any continuous function on $N$ admits a holomorphic extension to a complex transverse wedge | |
| dc.description | To appear in Michigan Math. Journal | |
| dc.identifier | https://arxiv.org/abs/math/0510184 | |
| dc.identifier | http://arxiv.org/abs/math/0510184 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103603 | |
| dc.subject | Complex Variables | |
| dc.title | Holomorphic extension of decomposable distributions from a CR submanifold of $\mathbb C^L$ | |
| dc.type | text |