Foliation by graphs of CR mappings and a nonlinear Riemann-Hilbert problem for smoothly bounded domains
| dc.creator | Whittlesey, Marshall A. | |
| dc.date | 2001-01-20 | |
| dc.date.accessioned | 2026-07-07T04:39:44Z | |
| dc.date.available | 2026-07-07T04:39:44Z | |
| dc.description | Let S be a generic C-infinity smooth CR manifold in C^n, n > 1, and let M be a generic C-infinity CR submanifold of S X C^m. We prescribe conditions on M so that it is the disjoint union of graphs of CR maps f:S-->C^m. We also consider the special case where S is the boundary of a bounded, smoothly bounded open set D in C^n, n > 1. In this case we obtain conditions which guarantee that such an f above extends to be analytic on D. This provides a solution to a particular nonlinear Riemann-Hilbert boundary value problem for analytic functions. | |
| dc.description | 32 pages, AMS-TeX | |
| dc.identifier | https://arxiv.org/abs/math/0101169 | |
| dc.identifier | http://arxiv.org/abs/math/0101169 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60788 | |
| dc.subject | Complex Variables | |
| dc.subject | 32A40,32V10,32H12 | |
| dc.title | Foliation by graphs of CR mappings and a nonlinear Riemann-Hilbert problem for smoothly bounded domains | |
| dc.type | text |