Quasianalytic multiparameter perturbation of polynomials and normal matrices
نویسندگان
چکیده
منابع مشابه
Quasianalytic Multiparameter Perturbation of Polynomials and Normal Matrices
We study the regularity of the roots of multiparameter families of complex univariate monic polynomials P (x)(z) = z + Pn j=1(−1) aj(x)z n−j with fixed degree n whose coefficients belong to a certain subring C of Cfunctions. We require that C includes polynomial but excludes flat functions (quasianalyticity) and is closed under composition, derivation, division by a coordinate, and taking the i...
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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 settings. Generally, the perturbation problem concerns the issue whether, given a family of mon...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2011
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-2011-05311-0