Siegfried Van Hille

activity

20192022

most citedSmooth parameterizations of power-subanalytic sets and compositions of Gevrey functions

2 citations · 3 across the 4 of their papers we have counts for

collaborators

4 papers

math.CO2022

The symmetric function theorem via the Faà di Bruno formula

Siegfried Van Hille

The symmetric function theorem states that a polynomial that is invariant under permutation of variables, is a polynomial in the elementary symmetric polynomials. We deduce this cl…

math.LO2021

Mild parametrizations of power-subanalytic sets

Siegfried Van Hille

We obtain two uniform parametrization theorems for families of bounded sets definable in $R_{an}^{R}$ . Let $X = {X_{t} \subset (0, 1)^{n} ∣ t \in T}$ be a definable…

math.NT2020★ 1 cited

On a family of mild functions

Siegfried Van Hille

We prove that the function $P_{α} (x) = exp (1 - x^{- α})$ with $α > 0$ , is $1/ α$ -mild. We apply this result to obtain a uniform $1/ α$ -mild parametrization of the family of curves $\{xy =…

math.LO2019★ 2 cited

Smooth parameterizations of power-subanalytic sets and compositions of Gevrey functions

Siegfried Van Hille

We show that if $X$ is an $m$ -dimensional definable set in $R_{an}^{pow}$ , the structure of real subanalytic sets with real power maps added, then for any positi…