Abstract
The purpose of this note is to give a more refined version of a theorem of Efroymson : If U ⊂ Rn is defined by polynomial inequalities of the form fi>0, i=1, ..., 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.
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Bochnak, J. (1978). Sur le 17ème problème de Hilbert pour les fonctions de Nash. In: Lelong, P., Skoda, H. (eds) Séminaire Pierre Lelong — Henri Skoda (Analyse) Année 1976/77. Lecture Notes in Mathematics, vol 694. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063242
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DOI: https://doi.org/10.1007/BFb0063242
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