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arXiv · 2112.10818

Restricted Log-Exp-Analytic Functions and some Differentiability Results

Andre Opris
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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.

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Andre Opris. 2022-08-18. Restricted Log-Exp-Analytic Functions and some Differentiability Results. https://doi.org/10.13140/rg.2.2.29029.93921

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