62 citations · 389 across the 51 of their papers we have counts for
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math.CA2009★ 14 cited
Quasianalytic multiparameter perturbation of polynomials and normal matrices
Armin Rainer
We study the regularity of the roots of multiparameter families of complex univariate monic polynomials with fixed degree w…
math.CA2009★ 8 cited
Smooth roots of hyperbolic polynomials with definable coefficients
Armin Rainer
We prove that the roots of a definable curve of monic hyperbolic polynomials admit a definable parameterization, where `definable' refers to any fixed o-minim…