Growth of Log-Analytic Functions
Logic
2023-06-27 v2 Algebraic Geometry
Complex Variables
Abstract
We show that unary log-analytic functions are polynomially bounded. In the higher dimensional case globally a log-analytic function can have exponential growth. We show that a log-analytic function is polynomially bounded on a definable set which contains the germ of every ray at infinity.
Cite
@article{arxiv.2301.02187,
title = {Growth of Log-Analytic Functions},
author = {Tobias Kaiser},
journal= {arXiv preprint arXiv:2301.02187},
year = {2023}
}
Comments
Final version, appeared in Archiv der Mathematik