A strict Positivstellensatz for rings of definable analytic functions
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Publication:4911843
DOI10.1090/S0002-9939-2012-11361-9zbMath1270.03058MaRDI QIDQ4911843
Publication date: 20 March 2013
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Positivstellensatzsmooth functionspolynomially bounded structurecontinuous definable functiondefinable analytic functions
Semialgebraic sets and related spaces (14P10) (C^infty)-functions, quasi-analytic functions (26E10) Model theory of ordered structures; o-minimality (03C64) Real algebra (13J30)
Cites Work
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- Positivstellensätze for differentiable functions
- The \(K\)-moment problem for compact semi-algebraic sets
- The strict Positivstellensatz for global analytic functions and the moment problem for semianalytic sets
- The Positivstellensatz for definable functions on o-minimal structures
- Geometric categories and o-minimal structures
- Anneaux preordonnes
- A Nullstellensatz and a Positivstellensatz in semialgebraic geometry
- Approximation Theorems for Nash Mappings and Nash Manifolds
- Expansions of dense linear orders with the intermediate value property
- Quasianalytic Denjoy-Carleman classes and o-minimality
- Infinite Differentiability in Polynomially Bounded O-Minimal Structures
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