Quasianalytic perturbation of multi-parameter hyperbolic polynomials and symmetric matrices
Volume 101 / 2011
Annales Polonici Mathematici 101 (2011), 275-291
MSC: 14P15, 32B20, 15A18, 26E10.
DOI: 10.4064/ap101-3-7
Abstract
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.
