Differentiability Properties of Log-Analytic Functions

2020/07/07 by Kaiser, Tobias, Opris, Andre · 2 citations
#03C64 #14P15 #26A09 #26E05 #26E10 #32B20 #Algebraic Geometry (math.AG) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.2007.03332

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.

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• On the de Rham theorem in the globally subanalytic setting
• The Derivative of a Constructible Function is Constructible

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