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Positivstellensätze for differentiable functions

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Publication:548207
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DOI10.1007/s11117-010-0077-5zbMath1233.03042OpenAlexW2080300708MaRDI QIDQ548207

Andreas Fischer

Publication date: 28 June 2011

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-010-0077-5


zbMATH Keywords

Banach spacedifferentiable functionPositivstellensatzsmooth functiondefinably complete structure


Mathematics Subject Classification ID

Semialgebraic sets and related spaces (14P10) Rings and algebras of continuous, differentiable or analytic functions (46E25) Constructive real analysis (26E40) Model theory of ordered structures; o-minimality (03C64)


Related Items (1)

A strict Positivstellensatz for rings of definable analytic functions



Cites Work

  • The \(K\)-moment problem for compact semi-algebraic sets
  • The Positivstellensatz for definable functions on o-minimal structures
  • Anneaux preordonnes
  • Expansions of dense linear orders with the intermediate value property
  • Unnamed Item


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