On the Analog of the Kolmogorov-Arnold Superposition Representation for Continuous Functions of Several p-Adic Variables

This is the authors' abstract. We don't add key points for this paper.

It is shown that any continuous function depending on several p -adic variables, each of which is defined on the ring of p -adic integers Zₚ , can be represented as a superposition of continuous functions of one p -adic variable. This statement is true for both functions with values in R and functions with values in Qₚ .