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Supplement to the paper "Quasianalytic perturbation of multi-parameter hyperbolic polynomials and symmetric matrices" (Ann. Polon. Math. 101 (2011), 275-291)

Krzysztof Jan Nowak (2012)

Annales Polonici Mathematici

In IMUJ Preprint 2009/05 we investigated the quasianalytic perturbation of hyperbolic polynomials and symmetric matrices by applying our quasianalytic version of the Abhyankar-Jung theorem from IMUJ Preprint 2009/02, whose proof relied on a theorem by Luengo on ν-quasiordinary polynomials. But those papers of ours were suspended after we had become aware that Luengo's paper contained an essential gap. This gave rise to our subsequent article on quasianalytic perturbation theory, which developed,...

Sur le théorème de division de Weierstrass

Jacques Chaumat, Anne-Marie Chollet (1995)

Studia Mathematica

We prove a Weierstrass division formula for C Whitney jets ∂̅-flat on arbitrary compact subsets of the complex plane. We also give results for Carleman classes.

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