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In this article we define restricted log-exp-analytic functions ascompositions of log-analytic functions and exponentials whose logarithm arelocally bounded. We prove that the derivative of a restricted log-exp-analyticfunction is again restricted log-exp-analytic and that such a function exhibitsstrong quasianalytic properties. We establish the parametric version of Tamm'stheorem for this class of functions.

Restricted Log-Exp-Analytic Functions and some Differentiability Results