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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, however, different methods and techniques. A recent paper by Parusiński-Rond validates Luengo's result, which allows us to resume our previous approach.
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Tom
Numer
Strony
101-107
Opis fizyczny
Daty
wydano
2012
Twórcy
autor
- Institute of Mathematics, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland
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Bibliografia
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bwmeta1.element.bwnjournal-article-doi-10_4064-ap103-1-8