62 citations · 389 across the 51 of their papers we have counts for
Showing 2017 · math.CAShow all
3 papers · 2 filters
math.CA2017★ 3 cited
The Trouvé group for spaces of test functions
David Nicolas Nenning, Armin Rainer
The Trouvé group from image analysis consists of the flows at a fixed time of all time-dependent vectors fields of a given regularity $\mathcal A(\mathbb…
math.CA2017★ 12 cited
On the extension of Whitney ultrajets
Armin Rainer, Gerhard Schindl
We prove necessary and sufficient conditions for the validity of Whitney's extension theorem in the ultradifferentiable Roumieu setting with controlled loss of regularity.
math.CA2017★ 3 cited
Selections of bounded variation for roots of smooth polynomials
Adam Parusinski, Armin Rainer
We prove that the roots of a smooth monic polynomial with complex-valued coefficients defined on a bounded Lipschitz domain in admit a parameterization by functio…