9 citations · 9 across the 4 of their papers we have counts for
4 papers
On spaces of arc-smooth maps
Armin Rainer
It is well-known that a function on an open set in is smooth if and only if it is arc-smooth, i.e., its composites with all smooth curves are smooth. In recent work,…
Interpolation of derivatives and ultradifferentiable regularity
Armin Rainer, Gerhard Schindl
Interpolation inequalities for functions allow to bound derivatives of intermediate order by bounds for the derivatives of order and . We review various inte…
On real analytic functions on closed subanalytic domains
Armin Rainer
We show that a function defined on a closed uniformly polynomially cuspidal set in is real analytic if and only if is smooth and all its…
Lifting smooth curves over invariants for representations of compact Lie groups. II
Andreas Kriegl, Mark Losik, Peter W. Michor +1
Any sufficiently often differentiable curve in the orbit space of a compact Lie group representation can be lifted to a once differentiable curve into the representation space.