62 citations · 389 across the 51 of their papers we have counts for
Showing 2020 · math.CAShow all
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math.CA2020
Roots of Garding hyperbolic polynomials
Armin Rainer
We explore the regularity of the roots of Garding hyperbolic polynomials and real stable polynomials. As an application we obtain new regularity results of Sobolev type for the eig…
math.CA2020
On the extension of Whitney ultrajets of Beurling type
Armin Rainer
We prove a version of Whitney's extension theorem in the ultradifferentiable Beurling setting with controlled loss of regularity. As a by-product we show the existence of continuou…
math.CA2020
Sobolev Lifting over Invariants
Adam Parusiński, Armin Rainer
We prove lifting theorems for complex representations of finite groups . Let be a minimal system of homogeneous basic invariants and let be their max…