On the Holomorphic Extension of CR Distributions from Non Generic CR Submanifolds of $\C^L$
| dc.creator | Eisen, Nicolas | |
| dc.date | 2005-04-25 | |
| dc.date.accessioned | 2026-07-07T05:19:24Z | |
| dc.date.available | 2026-07-07T05:19:24Z | |
| dc.description | We give a holomorphic extension result from non generic CR submanifold of $\C^L$ of positive CR dimension. We consider $N$ a non generic CR submanifold given by $N=\{\n,h(\n)\}$ where $\n$ is a generic submanifold of some $\C^{\ell}$ and $h$ is a CR map from $\n$ into $\C^n$. We prove that if $\n$ is a hypersurface then any CR distribution on $N$ extends holomorphically to a complex transversal wedge, we then generalize this result for arbitrary $\n$ in the case where the graphing function $h$ is decomposable at some $p'\in \n$. We show that any CR distribution on $N$ that is decomposable at $p=(p',h(p'))$ extends holomorphically to a complex transversal wedge. | |
| dc.identifier | https://arxiv.org/abs/math/0504521 | |
| dc.identifier | http://arxiv.org/abs/math/0504521 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75009 | |
| dc.subject | Complex Variables | |
| dc.title | On the Holomorphic Extension of CR Distributions from Non Generic CR Submanifolds of $\C^L$ | |
| dc.type | text |