A short proof of Cartan's Nullstellensatz for entire functions in $\mathbb C^n$
Complex Variables
2015-11-17 v1
Abstract
Using the fact that the maximal ideals in the polydisk algebra are given by the kernels of point evaluations, we derive a simple formula that gives a solution to the B\'ezout equation in the space of all entire functions of several complex variables. Thus a short and easy analytic proof of Cartan's Nullstellensatz is obtained.
Keywords
Cite
@article{arxiv.1511.04570,
title = {A short proof of Cartan's Nullstellensatz for entire functions in $\mathbb C^n$},
author = {Raymond Mortini},
journal= {arXiv preprint arXiv:1511.04570},
year = {2015}
}
Comments
4 pages