Lectures on Non-Archimedean Function Theory

Details Lectures on Non-Archimedean Function Theory Lectures on Non-Archimedean Function Theory

2009-09-24

arxiv.org/abs/0909.4509v1

Mathematics

Complex Variables

Lecture notes from a short course in the Advanced School on p-Adic Analysis and Applications held at the Abdus Salam Internati

Scientific paper

Lecture 1 discusses non-Archimedean analogs of classical complex function theory based on the Schnirelman integral. Lecture 2 discusses valuation (Newton) polygons and their consequences and presents a non-Archimedean analog of the Poisson-Jensen formula. Lecture 3 introduces non-Archimedean value distribution theory. Lecture 4 presents an introduction to Benedetto's non-Archimedean analogs of the Ahlfors Island theorems.

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