Differentiability Properties of Log-Analytic Functions
Logic
2021-11-05 v3 Algebraic Geometry
Classical Analysis and ODEs
Abstract
We show that the derivative of a log-analytic function is log-analytic. We prove that log-analytic functions exhibit strong quasianalytic properties. We establish the parametric version of Tamm's theorem for log-analytic functions.
Keywords
Cite
@article{arxiv.2007.03332,
title = {Differentiability Properties of Log-Analytic Functions},
author = {Tobias Kaiser and Andre Opris},
journal= {arXiv preprint arXiv:2007.03332},
year = {2021}
}
Comments
Final version; to appear at Rocky Mountain Journal of Mathematics