Gerhard Schindl

Composition in ultradifferentiable classes

We characterize stability under composition of ultradifferentiable classes defined by weight sequences

Equivalence of stability properties for ultradifferentiable function classes

M

Log-convex sequences and nonzero proximate orders

, by weight functions

On the extension of Whitney ultrajets

\omega

On the Borel mapping in the quasianalytic setting

, and, more generally, by weight matrices

Injectivity and surjectivity of the asymptotic Borel map in Carleman ultraholomorphic classes

\mathfrak{M}

How far is the Borel map from being surjective in quasianalytic ultradifferentiable classes

, and investigate continuity of composition

Extension of Whitney jets of controlled growth

(g,f) \mapsto f \circ g

Indices of O-regular variation for weight functions and weight sequences.

. In addition, we represent the Beurling space

Sectorial extensions, via Laplace transforms, in ultraholomorphic classes defined by weight functions

\mathcal{E}^{(\omega)}