Submission date: 20 December 2021

Abstract:

DOI: 10.13140/RG.2.2.29029.93921
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.

Mathematics Subject Classification: 03C64, 14P15, 26A09, 26E05, 26E10, 32B20

Keywords and phrases:

Full text arXiv 2112.10818: pdf, ps.