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p-adic analysis is a branch of number theory that deals with the mathematical analysis of functions of p-adic numbers.

2 votes
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Nuclear operator between general topological modules over ultrametric Banach rings

In the celebrating paper "Completely continuous endomorphisms of p-adic Banach spaces", Serre established a Fredholm-Riesz theory for compact endomorphisms of Banach spaces over (spherically complete …
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2 votes
1 answer
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Reference request: the dual Coleman family

Recently when I want to understand the construction of triple product p-adic L-function, I am really confused by the notion of dual form. To be precise, assume $f^\circ\in{S_k(N,\chi)}$ is an eigenfor …
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