Submission date: 7 July 2020

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.

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

Keywords and phrases:

Full text arXiv 2007.03332: pdf, ps.