p-adic interpolation of iterates

Extending work of Bell and of Bell, Ghioca, and Tucker, we prove that for a p-adic analytic self-map f on a closed unit polydisk, if every coefficient of f(x)−x has valuation greater than that of p [1over (p−1)], then the iterates of f can be p-adically interpolated; that is, there exists a function...

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Bibliographic Details
Main Author: Poonen, Bjorn
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Oxford University Press 2015
Online Access:http://hdl.handle.net/1721.1/93150
https://orcid.org/0000-0002-8593-2792