Global approximation of CR functions on Bloom-Graham model graphs in $C^n$
| dc.creator | Boggess, Albert | |
| dc.creator | Jupiter, Daniel | |
| dc.date | 2004-09-08 | |
| dc.date.accessioned | 2026-07-07T05:11:54Z | |
| dc.date.available | 2026-07-07T05:11:54Z | |
| dc.description | We define a class of generic CR submanifolds of $C^n$ of real codimension $d$, with $d$ in $1, ..., n-1$, called the Bloom-Graham model graphs, whose graphing functions are partially decoupled in their dependence on the variables in the real directions. We prove a global version of the Baouendi-Treves CR approximation theorem, for Bloom-Graham model graphs with a polynomial growth assumption on their graphing functions. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/0409120 | |
| dc.identifier | http://arxiv.org/abs/math/0409120 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72404 | |
| dc.subject | Complex Variables | |
| dc.subject | 32V10, 32V99, 30E10 (Primary) | |
| dc.title | Global approximation of CR functions on Bloom-Graham model graphs in $C^n$ | |
| dc.type | text |