Geodesic
Quasianalytic perturbation of multi-parameter hyperbolic polynomials and symmetric matrices
Krzysztof Jan Nowak1
1 Institute of Mathematics Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland
Annales Polonici Mathematici, Tome 101 (2011) no. 3, pp. 275-291

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap101-3-7
Keywords: paper investigates hyperbolic polynomials quasianalytic coefficients main purpose prove factorization theorems polynomials generalize results kurdyka paunescu about perturbation analytic families symmetric matrices quasianalytic setting

Krzysztof Jan Nowak 1

1 Institute of Mathematics Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland 
@article{10_4064_ap101_3_7,
     author = {Krzysztof Jan Nowak},
     title = {Quasianalytic perturbation of multi-parameter
 hyperbolic polynomials and symmetric matrices},
     journal = {Annales Polonici Mathematici},
     pages = {275--291},
     publisher = {mathdoc},
     volume = {101},
     number = {3},
     year = {2011},
     doi = {10.4064/ap101-3-7},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap101-3-7/}
}
TY  - JOUR
AU  - Krzysztof Jan Nowak
TI  - Quasianalytic perturbation of multi-parameter
 hyperbolic polynomials and symmetric matrices
JO  - Annales Polonici Mathematici
PY  - 2011
SP  - 275
EP  - 291
VL  - 101
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap101-3-7/
DO  - 10.4064/ap101-3-7
LA  - en
ID  - 10_4064_ap101_3_7
ER  - 
%0 Journal Article
%A Krzysztof Jan Nowak
%T Quasianalytic perturbation of multi-parameter
 hyperbolic polynomials and symmetric matrices
%J Annales Polonici Mathematici
%D 2011
%P 275-291
%V 101
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap101-3-7/
%R 10.4064/ap101-3-7
%G en
%F 10_4064_ap101_3_7
Krzysztof Jan Nowak. Quasianalytic perturbation of multi-parameter
 hyperbolic polynomials and symmetric matrices. Annales Polonici Mathematici, Tome 101 (2011) no. 3, pp. 275-291. doi: 10.4064/ap101-3-7

Cité par Sources :