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Restricted log-exp-analytic power functions

Volume 131 / 2023

Andre Opris Annales Polonici Mathematici 131 (2023), 57-78 MSC: Primary 03C64; Secondary 26A09, 26E05, 26E10. DOI: 10.4064/ap221218-2-6 Published online: 28 July 2023

Abstract

A preparation theorem for compositions of restricted log-exp-analytic functions and power functions of the form for r \in \mathbb R is given. Consequently, a parametric version of Tamm’s theorem for this class of functions is obtained which is indeed a full generalization of the parametric version of Tamm’s theorem for \mathbb R_{\rm an}^{\mathbb R}-definable functions.

Authors

  • Andre OprisUniversity of Passau
    94034 Passau, Germany
    e-mail

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