David Nicolas Nenning

activity

20162023

most citedAlmost analytic extensions of ultradifferentiable functions with applications to microlocal analysis

25 citations · 63 across the 10 of their papers we have counts for

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5 papers · 1 filter

math.CA2021★ 1 cited

Nonlinear conditions for ultradifferentiability: a uniform approach

David Nicolas Nenning, Armin Rainer, Gerhard Schindl

Recent work showed that a theorem of Joris (that a function $f$ is smooth if two coprime powers of $f$ are smooth) is valid in a wide variety of ultradifferentiable classes $\mathc…

math.CA2021★ 3 cited

Nonlinear conditions for ultradifferentiability

David Nicolas Nenning, Armin Rainer, Gerhard Schindl

A remarkable theorem of Joris states that a function $f$ is $C^{\infty}$ if two relatively prime powers of $f$ are $C^{\infty}$ . Recently, Thilliez showed that an analogous theorem hol…

math.CA2018

On time-dependent Besov vector fields and the regularity of their flows

David Nicolas Nenning

We show ODE-closedness for a large class of Besov spaces $B^{n, α, p} (R^{d}, R^{d})$ , where $n \geq 1, α \in (0, 1], p \in [1, \infty]$ . ODE-closedness means that…

math.CA2017★ 3 cited

The Trouvé group for spaces of test functions

David Nicolas Nenning, Armin Rainer

The Trouvé group $G_{A}$ 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.CA2016★ 6 cited

On groups of Hölder diffeomorphisms and their regularity

David Nicolas Nenning, Armin Rainer

We study the set $D^{n, β} (R^{d})$ of orientation preserving diffeomorphisms of $R^{d}$ which differ from the identity by a Hölder $C_{0}^{n, β}$ -mapping, where $n…