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Jul 5, 2021 at 0:10 comment added Narutaka OZAWA A short answer is NO. In general, you need a sum of squares instead of a single square and also a perturbation by $\epsilon>0$. See en.wikipedia.org/wiki/Positive_polynomial and the references therein.
Jul 4, 2021 at 16:08 history asked Stefano Rossi CC BY-SA 4.0