Sur le 17ème problème de Hilbert pour les fonctions de Nash
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- by Jacek Bochnak PDF
- Proc. Amer. Math. Soc. 71 (1978), 183-188 Request permission
Abstract:
The purpose of this note is to give a more refined version of a theorem of Efroymson: If $U \subset {{\mathbf {R}}^n}$ is defined by polynomial inequalities of the form ${f_i} > 0,i = 1, \ldots ,p$, and if g is a positive definite Nash function on U, then g is a finite sum of squares of Nash meromorphe functions on U.References
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Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 71 (1978), 183-188
- MSC: Primary 32B05; Secondary 12D99
- DOI: https://doi.org/10.1090/S0002-9939-1978-0486597-2
- MathSciNet review: 0486597