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Riemann mapping theorems for Beltrami equations by circle packings
- Source :
- Pacific Journal of Mathematics. 217:139-147
- Publication Year :
- 2004
- Publisher :
- Mathematical Sciences Publishers, 2004.
-
Abstract
- We use circle packing techniques to construct approximate solutions to the generalized Beltrami equations with simply and multiply connected regions in the plane. We show convergence of the approximate solutions. This gives a constructive proof for the existence of quasiconformal mappings with a given pair of complex dilations.
Details
- ISSN :
- 00308730
- Volume :
- 217
- Database :
- OpenAIRE
- Journal :
- Pacific Journal of Mathematics
- Accession number :
- edsair.doi...........7d0efa50d01835729638fecd7cb154f2