Quasianalytic multiparameter perturbation of polynomials and normal matrices
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Publication:3092823
DOI10.1090/S0002-9947-2011-05311-0zbMath1241.26024arXiv0905.0837OpenAlexW3100856495MaRDI QIDQ3092823
Publication date: 11 October 2011
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0905.0837
polynomialsdesingularizationsubanalytic functionsperturbation of normal matricesquasi-analytic functionsregularity of the roots
Perturbation theory of linear operators (47A55) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) (C^infty)-functions, quasi-analytic functions (26E10) Semi-analytic sets, subanalytic sets, and generalizations (32B20)
Related Items
The fundamental solution to \Box_{𝑏} on quadric manifolds – Part 1. General formulas, A generalization of Puiseux's theorem and lifting curves over invariants, Re-parameterizing and reducing families of normal operators, The fundamental solution to \Box_{𝑏} on quadric manifolds with nonzero eigenvalues, The Abhyankar-Jung theorem, The fundamental solution to \(\Box_b\) on quadric manifolds with nonzero eigenvalues and null variables, Denjoy-Carleman differentiable perturbation of polynomials and unbounded operators, Differentiable roots, eigenvalues, and eigenvectors, Selections of bounded variation for roots of smooth polynomials, Multiparameter perturbation theory of matrices and linear operators, Roots of Gårding hyperbolic polynomials, Adjacency spectra of random and complete hypergraphs, Perturbation theory for normal operators, Analysis on quadrics
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