A. Rainer

activity

20032026

most citedComposition in ultradifferentiable classes

62 citations · 389 across the 51 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.FA2023

Perturbation theory of polynomials and linear operators

Adam Parusiński, Armin Rainer

This survey revolves around the question how the roots of a monic polynomial (resp. the spectral decomposition of a linear operator), whose coefficients depend in a smooth way on p…

math.LO2023★ 1 cited

Uniform extension of definable $C^{m, ω}$ -Whitney jets

Adam Parusiński, Armin Rainer

We show that definable Whitney jets of class $C^{m, ω}$ , where $m$ is a nonnegative integer and $ω$ is a modulus of continuity, are the restrictions of definable $C^{m, ω}$ -functions…

math.LO2023

Definable Lipschitz selections for affine-set valued maps

Adam Parusiński, Armin Rainer

Whitney's extension problem, i.e., how one can tell whether a function $f : X \to R$ , $X \subseteq R^{n}$ , is the restriction of a $C^{m}$ -function on $R^{n}$ , wa…

Perturbation theory of polynomials and linear operators

Uniform extension of definable Cm,ω-Whitney jets

Definable Lipschitz selections for affine-set valued maps

Uniform extension of definable $C^{m, ω}$ -Whitney jets