Quasianalytic perturbation of multi-parameter hyperbolic polynomials and symmetric matrices

Krzysztof Jan Nowak. "Quasianalytic perturbation of multi-parameter hyperbolic polynomials and symmetric matrices." Annales Polonici Mathematici 101.3 (2011): 275-291. <http://eudml.org/doc/280629>.

@article{KrzysztofJanNowak2011,
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.},
author = {Krzysztof Jan Nowak},
journal = {Annales Polonici Mathematici},
keywords = {quasianalytic perturbation; hyperbolic polynomials; quasianalytic and arc-quasianalytic functions; polynomially bounded structures; eigenvalues; eigenspaces; symmetric and antisymmetric matrices; spectral theorem; quasianalytic diagonalization},
language = {eng},
number = {3},
pages = {275-291},
title = {Quasianalytic perturbation of multi-parameter hyperbolic polynomials and symmetric matrices},
url = {http://eudml.org/doc/280629},
volume = {101},
year = {2011},
}

TY - JOUR
AU - Krzysztof Jan Nowak
TI - Quasianalytic perturbation of multi-parameter hyperbolic polynomials and symmetric matrices
JO - Annales Polonici Mathematici
PY - 2011
VL - 101
IS - 3
SP - 275
EP - 291
AB - 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.
LA - eng
KW - quasianalytic perturbation; hyperbolic polynomials; quasianalytic and arc-quasianalytic functions; polynomially bounded structures; eigenvalues; eigenspaces; symmetric and antisymmetric matrices; spectral theorem; quasianalytic diagonalization
UR - http://eudml.org/doc/280629
ER -