Lectures on Non-Archimedean Function Theory
Complex Variables
2009-09-25 v1 Number Theory
Abstract
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.
Cite
@article{arxiv.0909.4509,
title = {Lectures on Non-Archimedean Function Theory},
author = {William Cherry},
journal= {arXiv preprint arXiv:0909.4509},
year = {2009}
}
Comments
Lecture notes from a short course in the Advanced School on p-Adic Analysis and Applications held at the Abdus Salam International Centre for Theoretical Physics, August 31 - September 11, 2009