6 citations · 14 across the 18 of their papers we have counts for
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Restricted Log-Exp-Analytic Power Functions
Andre Opris
A preparation theorem for compositions of restricted log-exp-analytic functions and power functions of the form $$h: \mathbb{R} \to \mathbb{R}, x \mapsto \left\{\begin{array}{ll} x…
Global Complexification of Real Analytic Restricted Log-Exp-Analytic Functions
Andre Opris
We show that a real analytic restricted log-exp-analytic function has a holomorphic extension which is again restricted log-exp-analytic. We also establish a parametric version of…
Restricted Log-Exp-Analytic Functions and some Differentiability Results
Andre Opris
In this article we define restricted log-exp-analytic functions as compositions of log-analytic functions and exponentials whose logarithm are locally bounded. We prove that the de…
On Preparation Theorems for -definable functions
Andre Opris
In this article we give strong versions for preparation theorems for -definable functions outgoing from methods of Lion and Rolin ( is the…
Differentiability Properties of Log-Analytic Functions
Tobias Kaiser, Andre Opris
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 ve…