P-adic

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.

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.

2. Preliminaries 3. A p'''-adic Cauchy problem 4. The p'''-adic Hilbert transform 5. The boundaries in the p'''-adic space L^q […]