62 citations · 389 across the 51 of their papers we have counts for
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math.CA2015★ 11 cited
On the Borel mapping in the quasianalytic setting
Armin Rainer, Gerhard Schindl
The Borel mapping takes germs at of smooth functions to the sequence of iterated partial derivatives at . We prove that the Borel mapping restricted to the germs of any quas…
math.CA2015★ 1 cited
Optimal Sobolev regularity of roots of polynomials
Adam Parusinski, Armin Rainer
We study the regularity of the roots of complex univariate polynomials whose coefficients depend smoothly on parameters. We show that any continuous choice of the roots of a $C^{n-…