Some aspects of analysis related to p-adic numbers, 2

TL;DR

This paper explores various analytical aspects of fields equipped with absolute value functions, including real, complex, and p-adic numbers, highlighting differences and similarities in their properties.

Contribution

It provides a comparative analysis of analysis on fields with different absolute value structures, emphasizing ultrametric cases like p-adic numbers.

Findings

Ultrametric fields exhibit unique analytical properties.

Comparison between real, complex, and p-adic analysis.

Insights into the structure of fields with absolute value functions.

Abstract

Some aspects of analysis involving fields with absolute value functions are discussed, which includes the real or complex numbers with their standard absolute values, as well as ultrametric situations like the p-adic numbers.