Factorisation of conformal maps on finitely connected domains

Details Factorisation of conformal maps on finitely connected domains Factorisation of conformal maps on finitely connected domains

2011-07-04

arxiv.org/abs/1107.0582v1

Mathematics

Complex Variables

5 pages

Scientific paper

Let $U$ be a multiply connected domain of the Riemann sphere $\hat{C}$ whose complement $\hat{C}\setminus U$ has $N<\infty$ components. We show that every conformal map on $U$ can be written as a composition of $N$ maps conformal on simply connected domains. This improves on a recent result of D.E. Marshall, but our proof uses different ideas, and involves the uniformisation theorem for Riemann surfaces.

Affiliated with

Also associated with

No associations

Rating

Factorisation of conformal maps on finitely connected domains does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Factorisation of conformal maps on finitely connected domains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Factorisation of conformal maps on finitely connected domains will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-3729