This paper investigates hyperbolic polynomials with quasianalytic coefficients. Our main purpose is to prove factorization theorems for such polynomials, and next to generalize the results of K. Kurdyka and L. Paunescu about perturbation of analytic families of symmetric matrices to the quasianalytic setting.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap101-3-7,
author = {Krzysztof Jan Nowak},
title = {Quasianalytic perturbation of multi-parameter hyperbolic polynomials and symmetric matrices},
journal = {Annales Polonici Mathematici},
volume = {101},
year = {2011},
pages = {275-291},
zbl = {1230.14087},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap101-3-7}
}
Krzysztof Jan Nowak. Quasianalytic perturbation of multi-parameter hyperbolic polynomials and symmetric matrices. Annales Polonici Mathematici, Tome 101 (2011) pp. 275-291. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap101-3-7/