Restricted Log-Exp-Analytic Functions and some Differentiability Results
Logic
2022-08-19 v2 Algebraic Geometry
Classical Analysis and ODEs
Abstract
In this article we define restricted log-exp-analytic functions as compositions of log-analytic functions and exponentials whose logarithm are locally bounded. We prove that the derivative of a restricted log-exp-analytic function is again restricted log-exp-analytic and that such a function exhibits strong quasianalytic properties. We establish the parametric version of Tamm's theorem for this class of functions.
Cite
@article{arxiv.2112.10818,
title = {Restricted Log-Exp-Analytic Functions and some Differentiability Results},
author = {Andre Opris},
journal= {arXiv preprint arXiv:2112.10818},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:2112.08161