|
This article is cited in 1 scientific paper (total in 1 paper)
Uniform Boundedness of Iterates of Analytic Mappings Implies Linearization: a Simple Proof and Extensions
Rafael de la Llave Georgia Institute of Technology, School of Mathematics, 686 Cherry St., Atlanta GA 30332-0160, USA
Abstract:
A well-known result in complex dynamics shows that if the iterates of an analytic map are uniformly bounded in a complex domain, then the map is analytically conjugate to a linear map. We present a simple proof of this result in any dimension. We also present several generalizations and relations to other results in the literature.
Keywords:
analytic maps, linearization.
Received: 11.09.2017 Accepted: 08.10.2017
Citation:
Rafael de la Llave, “Uniform Boundedness of Iterates of Analytic Mappings Implies Linearization: a Simple Proof and Extensions”, Regul. Chaotic Dyn., 23:1 (2018), 1–11
Linking options:
https://www.mathnet.ru/eng/rcd304 https://www.mathnet.ru/eng/rcd/v23/i1/p1
|
|