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• W99708544 abstract "In this chapter we begin the study of the multidimensional moment problem. The passage to dimensions d ≥ 2 brings new difficulties and unexpected phenomena. In Sect. 3.2 we derived solvability criteria of the moment problem on intervals in terms of positivity conditions. It seems to be natural to look for similar characterizations in higher dimensions as well. This leads us immediately into the realm of real algebraic geometry and to descriptions of positive polynomials on semi-algebraic sets. In this chapter we treat this approach for basic closed compact semi-algebraic subsets of (mathbb{R}^{d}). It turns out that for such sets there is a close interaction between the moment problem and Positivstellensatze for strictly positive polynomials." @default.
• W99708544 created "2016-06-24" @default.
• W99708544 creator A5043414475 @default.
• W99708544 date "2017-01-01" @default.
• W99708544 modified "2023-09-24" @default.
• W99708544 title "The Moment Problem on Compact Semi-Algebraic Sets" @default.
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• W99708544 doi "https://doi.org/10.1007/978-3-319-64546-9_12" @default.
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