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Volumn 136, Issue 2, 2008, Pages 529-537

An elementary proof of schmüdgen's theorem on the moment problem of closed semi-algebraic sets

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EID: 67349124590     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-07-09087-9     Document Type: Article
Times cited : (9)

References (9)
  • 2
    • 0000336262 scopus 로고
    • On the moment problem for distribution functions in more than one dimension II
    • MR1507139
    • E.K. Haviland, On the moment problem for distribution functions in more than one dimension II, Amer. J. Math. 58 (1936), 164-168. MR1507139
    • (1936) Amer. J. Math. , vol.58 , pp. 164-168
    • Haviland, E.K.1
  • 3
    • 0036830643 scopus 로고    scopus 로고
    • Positivity, sums ofsquares and the multidimensional moment problem
    • MR1926876 (2003j:14078)
    • S. Kuhlmann, M. Marshall, Positivity, sums ofsquares and the multidimensional moment problem, Trans. Amer. Math. Soc. 354 (2002), 4285-4301. MR1926876 (2003j:14078)
    • (2002) Trans. Amer. Math. Soc. , vol.354 , pp. 4285-4301
    • Kuhlmann, S.1    Marshall, M.2
  • 4
    • 33645516296 scopus 로고    scopus 로고
    • Positivity, sums of squares and the multi-dimensional moment problem II
    • DOI 10.1515/advg.2005.5.4.583
    • S. Kuhlmann, M. Marshall, N. Schwartz, Positivity, sums of squares and the multidimensional moment problem II, Adv. Geom. 5 (2005), 583-606. MR2174483 (2006i:14064) (Pubitemid 41572910)
    • (2005) ADVANCES IN GEOMETRY , vol.5 , Issue.4 , pp. 583-606
    • Kuhlmann, S.1    Marshall, M.2    Schwartz, N.3
  • 6
    • 27844532183 scopus 로고    scopus 로고
    • Non-existence of degree bounds for weighted sums of squares representations
    • DOI 10.1016/j.jco.2005.04.001, PII S0885064X05000300
    • C. Scheiderer, Non-existence of degree bounds for weighted sums of squares representations, Journal of Complexity 21 (2005), 823-844. MR2182447 (2006k:14117) (Pubitemid 41641833)
    • (2005) Journal of Complexity , vol.21 , Issue.6 , pp. 823-844
    • Scheiderer, C.1
  • 8
    • 0001250675 scopus 로고
    • The K-moment problem for compact semi-algebraic sets
    • MR1092173 (92b:44011)
    • K. Schmiüdgen, The K-moment problem for compact semi-algebraic sets, Math. Ann. 289 (1991), 203-206. MR1092173 (92b:44011)
    • (1991) Math. Ann. , vol.289 , pp. 203-206
    • Schmiüdgen, K.1
  • 9
    • 0042669943 scopus 로고    scopus 로고
    • On the moment problem of closed semi-algebraic sets
    • K. Schmiüdgen, On the moment problem of closed semi-algebraic sets, J. Reine Angew. Math. 558 (2003), 225-234. MR1979186 (2004e:47019) (Pubitemid 36658553)
    • (2003) JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK , Issue.558 , pp. 225-234
    • Schmudgen, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.