Bernstein classes
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Publication:1360857
DOI10.5802/aif.1582zbMath0974.30524OpenAlexW4237038737MaRDI QIDQ1360857
Publication date: 22 July 1997
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_1997__47_3_825_0
Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Singularities of curves, local rings (14H20) Ordinary differential equations in the complex domain (34M99) Abstract differential equations (12H20)
Related Items (18)
$$\boldsymbol{(s,p)}$$ -Valent Functions ⋮ Cartan Covers and Doubling Bernstein-Type Inequalities on Analytic Subsets of $$\mathbb {C}^2$$ ⋮ Bernstein inequalities and applications to analytic geometry and differential equations ⋮ Doubling chains on complements of algebraic hypersurfaces ⋮ Bernstein type inequalities for restrictions of polynomials to complex submanifolds of \(\mathbb{C}^N\) ⋮ Bernstein-Remez inequality for algebraic functions: a topological approach ⋮ Taylor Domination, Difference Equations, and Bautin Ideals ⋮ Remez-type and Nikol'skii-type inequalities: general relations and the hyperbolic cross polynomials ⋮ Zeroes and rational points of analytic functions ⋮ On local behavior of analytic functions ⋮ On local behavior of holomorphic functions along complex submanifolds of \(\mathbb C^{N}\) ⋮ Smooth parametrizations in dynamics, analysis, diophantine and computational geometry ⋮ Exponential Taylor Domination ⋮ Transcendence measures and algebraic growth of entire functions ⋮ Analytic reparametrization of semi-algebraic sets ⋮ Markov type inequality for functional determinants ⋮ Center conditions at infinity for Abel differential equations ⋮ Remez-type inequality on sets with cusps
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