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2311. Andre Opris
Restricted Log-Exp-Analytic Power Functions
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Submission date: 18 December 2022

Abstract:

A preparation theorem for compositions of restricted log-exp-analytic functions and power functions of the form

h: ℝ → ℝ, x ↦ x^r, if x > 0, else 0, for r ∈ ℝ is given. Consequently we obtain a parametric version of Tamm's theorem for this class of functions which is indeed a full generalisation of the parametric version of Tamm's theorem for ℝ_{an}^ℝ-definable functions.

Mathematics Subject Classification: 03C64, 14P15, 26A09, 26E05, 26E10, 32B20

Keywords and phrases:

Full text arXiv 2212.09141: pdf, ps.