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Bernstein's inequality and the resolution of spaces of analytic functions

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Publication:1913577
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DOI10.1215/S0012-7094-95-08108-3zbMath0854.32006OpenAlexW2054445973MaRDI QIDQ1913577

Raghavan Narasimhan, Charles L. Fefferman

Publication date: 19 January 1997

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-95-08108-3


zbMATH Keywords

resolutionBernstein's inequalityspaces of analytic functions


Mathematics Subject Classification ID

Real-analytic and semi-analytic sets (14P15) Analytic algebras and generalizations, preparation theorems (32B05)


Related Items (7)

A local Bernstein inequality on real algebraic varieties ⋮ Markov's inequality and polynomial mappings ⋮ Bernstein classes ⋮ On covering numbers of sublevel sets of analytic functions ⋮ Bernstein-Remez inequality for algebraic functions: a topological approach ⋮ On local behavior of analytic functions ⋮ Analytic reparametrization of semi-algebraic sets



Cites Work

  • Semianalytic and subanalytic sets
  • Bernstein's inequality on algebraic curves
  • On the polynomial-like behaviour of certain algebraic functions
  • Subunit balls for symbols of pseudodifferential operators
  • Unnamed Item


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