An Edge-of-the Wedge Theorem for Hypersurface CR Functions
| dc.creator | Eastwood, Michael G. | |
| dc.creator | Graham, C. Robin | |
| dc.date | 1999-08-02 | |
| dc.date | 1999-12-16 | |
| dc.date.accessioned | 2026-07-07T05:30:10Z | |
| dc.date.available | 2026-07-07T05:30:10Z | |
| dc.description | The Lewy extension theorem asserts the holomorphic extendability of CR functions defined in a neighborhood of a point on a hypersurface in C^{n+1}. The edge-of-the-wedge theorem asserts the extendability of holomorphic functions defined in wedges in C^{n+1} with edge a maximally real submanifold. In this article we prove under suitable hypotheses the holomorphic extendability to an open set in C^{n+1} of CR functions defined in the intersection of a hypersurface with a wedge whose edge is contained in the hypersurface. Unlike the situation for the classical edge-of-the-wedge theorem, for this hypersurface version extendability generally depends on the direction of the wedge. | |
| dc.description | 17 pages, 1 figure. This revised version remarks on how our results compare with an extension theorem of Tumanov | |
| dc.identifier | https://arxiv.org/abs/math/9908009 | |
| dc.identifier | http://arxiv.org/abs/math/9908009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78909 | |
| dc.subject | Complex Variables | |
| dc.subject | 32D15 (Primary) 32F25 (Secondary) | |
| dc.title | An Edge-of-the Wedge Theorem for Hypersurface CR Functions | |
| dc.type | text |