62 citations · 389 across the 51 of their papers we have counts for
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math.CA2018
Quasianalytic ultradifferentiability cannot be tested in lower dimensions
Armin Rainer
We show that, in contrast to the real analytic case, quasianalytic ultradifferentiability can never be tested in lower dimensions. Our results are based on a construction due to Ja…
math.CA2018★ 17 cited
On the extension of Whitney ultrajets, II
Armin Rainer, Gerhard Schindl
We characterize the validity of the Whitney extension theorem in the ultradifferentiable Roumieu setting with controlled loss of regularity. Specifically, we show that in the main…
math.CA2018★ 7 cited
Arc-smooth functions on closed sets
Armin Rainer
By an influential theorem of Boman, a function on an open set in is smooth () if and only if it is arc-smooth, i.e., is smooth f…