Sets of Approximation and Interpolation in ? for Manifold-Valued Maps |
| |
Authors: | Debraj Chakrabarti |
| |
Institution: | (1) Department of Mathematics, University of Western Ontario, London, Ontario, N6A 5B7, Canada |
| |
Abstract: | We give examples of non-smooth sets in the complex plane with the property that every holomorphic map continuous to the boundary
from these sets into any complex manifold may be uniformly approximated by maps holomorphic in some neighborhood of the set
(Mergelyan-type approximation for manifold-valued maps.) Similar results are proved for sections of complex-valued holomorphic
submersions from complex manifolds.
|
| |
Keywords: | Mergelyan-type Approximation Manifold-valued maps |
本文献已被 SpringerLink 等数据库收录! |