Hyperbolic polynomials and multiparameter real-analytic perturbation theory
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Publication:2465259
DOI10.1215/S0012-7094-08-14113-4zbMath1140.15006arXivmath/0602538MaRDI QIDQ2465259
Krzysztof Kurdyka, Laurentiu Paunescu
Publication date: 9 January 2008
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0602538
eigenvalueperturbation theorysymmetric matriceslinear operatorshyperbolic polynomialsantisymmetric matricesuniform diagonalization
Eigenvalues, singular values, and eigenvectors (15A18) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Nash functions and manifolds (14P20)
Related Items (16)
On the optimal approximation of geophysical fields ⋮ Spectral and scattering theory for Schrödinger operators on perturbed topological crystals ⋮ Re-parameterizing and reducing families of normal operators ⋮ On the first subharmonic bifurcations in a branch of Stokes water waves ⋮ On the uniqueness of Schwarzschild-de Sitter spacetime ⋮ Oxidation, reduction and semi-classical limit for quantum matrix geometries ⋮ Denjoy-Carleman differentiable perturbation of polynomials and unbounded operators ⋮ Equatorial wave-current interactions ⋮ Multiparameter perturbation theory of matrices and linear operators ⋮ Roots of Gårding hyperbolic polynomials ⋮ Quasianalytic multiparameter perturbation of polynomials and normal matrices ⋮ Perturbation of complex polynomials and normal operators ⋮ Basic matrix perturbation theory ⋮ Perturbation theory for normal operators ⋮ Monomialization of singular metrics on real surfaces ⋮ Arc-quasianalytic functions
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