August 2022 Differentiability properties of log-analytic functions
Tobias Kaiser, Andre Opris
Rocky Mountain J. Math. 52(4): 1423-1443 (August 2022). DOI: 10.1216/rmj.2022.52.1423

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.

Citation

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Tobias Kaiser. Andre Opris. "Differentiability properties of log-analytic functions." Rocky Mountain J. Math. 52 (4) 1423 - 1443, August 2022. https://doi.org/10.1216/rmj.2022.52.1423

Information

Received: 11 August 2020; Revised: 26 October 2021; Accepted: 26 October 2021; Published: August 2022
First available in Project Euclid: 26 September 2022

MathSciNet: MR4489168
zbMATH: 1512.32004
Digital Object Identifier: 10.1216/rmj.2022.52.1423

Subjects:
Primary: 03C64 , 14P15 , 26A09 , 26E05 , 26E10 , 32B20

Keywords: differentiability , log-analytic functions , preparation , Tamm’s theorem

Rights: Copyright © 2022 Rocky Mountain Mathematics Consortium

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Vol.52 • No. 4 • August 2022
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