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math.FA2022
Quantitative tame properties of differentiable functions with controlled derivatives
Armin Rainer
We show that differentiable functions, defined on a convex body , whose derivatives do not exceed a suitable given sequence of positive real numbers share…
math.FA2022★ 3 cited
The Borel map in the mixed Beurling setting
David Nicolas Nenning, Armin Rainer, Gerhard Schindl
The Borel map takes a smooth function to its infinite jet of derivatives (at zero). We study the restriction of this map to ultradifferentiable classes of Beurling type in a very g…
math.FA2022
Hölder--Zygmund classes on smooth curves
Armin Rainer
We prove that a function in several variables is in the local Zygmund class if and only if its composite with every smooth curve is of class .…