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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| Format: | Article |
| Language: | en_US |
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Oxford University Press
2015
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| Online Access: | http://hdl.handle.net/1721.1/93150 https://orcid.org/0000-0002-8593-2792 |