Quasianalytic multiparameter perturbation of polynomials and normal matrices
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)
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Cites Work
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- On the regularity of the roots of hyperbolic polynomials
- On the Jung-Abhyankar theorem
- Arc-analytic functions
- A new proof of the Jung-Abhyankar theorem
- The convenient setting for non-quasianalytic Denjoy-Carleman differentiable mappings
- Remarks on hyperbolic polynomials
- Semianalytic and subanalytic sets
- The implicit function theorem for ultradifferentiable mappings
- Positive symmetric functions
- Choosing roots of polynomials smoothly
- Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant
- Differentiable perturbation of unbounded operators
- Resolution of singularities in Denjoy-Carleman classes
- Choosing roots of polynomials smoothly. II
- Degree theory of BMO. I: Compact manifolds without boundaries
- Degree theory and BMO. II: Compact manifolds with boundaries. (Appendix with Petru Mironescu)
- A Caldéron-Zygmund procedure for the problem of the \(k\)-th root
- Nonnegative functions as squares or sums of squares
- Racine carrée d'une fonction différentiable
- Hyperbolic polynomials and multiparameter real-analytic perturbation theory
- Choosing roots of polynomials with symmetries smoothly
- On quasianalytic local rings
- Sur un théorème de Glaeser
- Ultra-distributions definies sur \(R^ n\) et sur certaines classes de variétés différentiables
- Resolution of singularities of an algebraic variety over a field of characteristic zero. I
- Störungstheorie der Spektralzerlegung. I. Analytische Störung der isolierten Punkteigenwerte eines beschränkten Operators
- Störungstheorie der Spektralzerlegung. II. Mitt. Stetige Abhängigkeit der Spektralschar von einem Parameter
- Störungstheorie der Spektralzerlegung. III. Analytische, nicht notwendig beschränkte Störung
- Störungstheorie der Spektralzerlegung. 4. Mitt
- Recherches sur la méthode de Graeffe et les zéros des polynômes et des séries de Laurent
- Störungstheorie der Spektralzerlegung. 5
- Real-Analytic Desingularization and Subanalytic Sets: An Elementary Approach
- Perturbation of complex polynomials and normal operators
- Functions of Vanishing Mean Oscillation
- Subanalytic Functions
- Lipschitz stratification of subanalytic sets
- Division par un polynôme hyperbolique
- On the Ramification of Algebraic Functions