Asymptotically Conformal Fixed Points and Holomorphic Motions

Details Asymptotically Conformal Fixed Points and Holomorphic Motions Asymptotically Conformal Fixed Points and Holomorphic Motions

2006-12-20

arxiv.org/abs/math/0612576v2

Mathematics

Complex Variables

Scientific paper

The term integrable asymptotically conformal at a point for a quasiconformal map defined on a domain is defined. Furthermore, we prove that there is a normal form for this kind attracting or repelling or super-attracting fixed point with the control condition under a quasiconformal change of coordinate which is also asymptotically conformal at this fixed point. The change of coordinate is essentially unique. These results generalize K\"onig's Theorem and B\"ottcher's Theorem in classical complex analysis. The idea in proofs is new and uses holomorphic motion theory and provides a new understanding of the inside mechanism of these two famous theorems too.

Affiliated with

Also associated with

No associations

Rating

Asymptotically Conformal Fixed Points and Holomorphic Motions 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 Asymptotically Conformal Fixed Points and Holomorphic Motions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotically Conformal Fixed Points and Holomorphic Motions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-242481