𝔖 Bobbio Scriptorium
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On Hilbert's 17th problem and real Nullstellensatz for global analytic functions

✍ Scribed by Jesús M. Ruiz

Book ID
118289544
Publisher
Springer-Verlag
Year
1985
Tongue
French
Weight
392 KB
Volume
190
Category
Article
ISSN
0025-5874

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## Abstract We recall the characterisation of positive definite polynomial functions over a real closed ring due to Dickmann, and give a new proof of this result, based upon ideas of Abraham Robinson. In addition we isolate the class of convexly ordered valuation rings for which this characterisati