|
|||||
|
|
|
|
|
|
|
|
|
A reflection
principle in complex space for a class of hypersurfaces and
mappings
Francine Antoinette Meylan |
|
Vol. 169 (1995), No. 1, 135–160
|
Abstract |
|
The Schwarz reflection principle in one complex variable can be stated as follows. Let M and M′ be two real analytic curves in ℂ and ℋ a holomorphic function defined on one side of M, extending continuously through M, and mapping M into M′. Then ℋ has a holomorphic extension across M. We address here the question of extending this classical theorem to higher complex dimensions for some class of hypersurfaces and mappings. |
Mathematical Subject Classification 2000
Primary: 32D15
Secondary: 32F25
|
Milestones
Received: 29 July 1992
Revised: 3 February 1993
Published: 1 May 1995
|
Authors |
| Francine Antoinette Meylan | |
|
