This paper gives a survey, with detailed references to the literature, on recent developments in real algebra and geometry concerning the polarity between positivity and sums of squares. After a review of foundational material, the topics covered are Positiv- and Nichtnegativstellensatze, local rings, Pythagoras numbers, and applications to moment problems.
CITATION STYLE
Scheiderer, C. (2009). Positivity and Sums of Squares: A Guide to Recent Results (pp. 271–324). https://doi.org/10.1007/978-0-387-09686-5_8
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