On the polynomial-like behaviour of certain algebraic functions

DOI10.5802/aif.1428zbMath0811.14046OpenAlexW1981221228MaRDI QIDQ1341648

Charles L. Fefferman, Raghavan Narasimhan

Publication date: 8 January 1995

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1994__44_4_1091_0

zbMATH Keywords

Bernstein inequalityreal polynomialssemi-algebraic setsideals of polynomials

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Semialgebraic sets and related spaces (14P10)

Related Items (12)

Cartan Covers and Doubling Bernstein-Type Inequalities on Analytic Subsets of $$\mathbb {C}^2$$ ⋮ A local Bernstein inequality on real algebraic varieties ⋮ Markov's inequality and polynomial mappings ⋮ Algebraic families of analytic functions. I ⋮ Bernstein classes ⋮ Bernstein's inequality and the resolution of spaces of analytic functions ⋮ Doubling chains on complements of algebraic hypersurfaces ⋮ Bernstein type inequalities for restrictions of polynomials to complex submanifolds of \(\mathbb{C}^N\) ⋮ On local behavior of analytic functions ⋮ On local behavior of holomorphic functions along complex submanifolds of \(\mathbb C^{N}\) ⋮ Transcendence measures and algebraic growth of entire functions ⋮ Analytic reparametrization of semi-algebraic sets

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• Bounds for the degrees in the membership test for a polynomial ideal
• Decision procedures for real and p‐adic fields

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