The theory of p'''-adic analytic functions in domains other than simple disks is not very well known yet, although such kind of functions happens to intervene in questions linked to p'''-adic functional analysis, number theory, and others.
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1997, Fernando Q. Gouvêa, p-adic Numbers: An Introduction, Springer, 2nd Edition, page 60,
Definition 3.3.3 The ring of p'''-adic integers is the valuation ring
Z ₚ=x∈ Q ₚ:|x|ₚ<1.
Source: wiktionary
2. Preliminaries
3. A p'''-adic Cauchy problem
4. The p'''-adic Hilbert transform
5. The boundaries in the p'''-adic space L^q
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Source: wiktionary