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Preprint Number 1810

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1810. Tobias Kaiser and Andre Opris
Differentiability Properties of Log-Analytic Functions

Submission date: 7 July 2020


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.

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