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Volumn 119, Issue 4, 2006, Pages 395-410

Sums of squares on real algebraic surfaces

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EID: 33645499134     PISSN: 00252611     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00229-006-0630-5     Document Type: Article
Times cited : (88)

References (17)
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    • Positivity, sums of squares and the multi-dimensional moment problem II
    • Kuhlmann, S., Marshall, M., Schwartz, N.: Positivity, sums of squares and the multi-dimensional moment problem II. Advances Geom. 5, 583-607 (2005)
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    • Kuhlmann, S.1    Marshall, M.2    Schwartz, N.3
  • 9
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    • Uniform denominators in Hilbert's seventeenth problem
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    • Reznick, B.1
  • 10
    • 26444514585 scopus 로고    scopus 로고
    • On the absence of uniform denominators in Hilbert's 17th problem
    • Reznick, B.: On the absence of uniform denominators in Hilbert's 17th problem. Proc. Am. Math. Soc. 133, 2829-2834 (2005)
    • (2005) Proc. Am. Math. Soc. , vol.133 , pp. 2829-2834
    • Reznick, B.1
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    • 33646876901 scopus 로고    scopus 로고
    • Sums of squares of regular functions on real algebraic varieties
    • Scheiderer, C.: Sums of squares of regular functions on real algebraic varieties. Trans. Am. Math. Soc. 352, 1039-1069 (1999)
    • (1999) Trans. Am. Math. Soc. , vol.352 , pp. 1039-1069
    • Scheiderer, C.1
  • 12
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    • On sums of squares in local rings
    • Scheiderer, C.: On sums of squares in local rings. J. reine angew. Math. 540, 205-227 (2001)
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    • Scheiderer, C.1
  • 13
    • 0347622622 scopus 로고    scopus 로고
    • Sums of squares on real algebraic curves
    • Scheiderer, C.: Sums of squares on real algebraic curves. Math. Z. 245, 725-760 (2003)
    • (2003) Math. Z. , vol.245 , pp. 725-760
    • Scheiderer, C.1
  • 15
    • 27844532183 scopus 로고    scopus 로고
    • Non-existence of degree bounds for weighted sums of squares representations
    • Scheiderer, C.: Non-existence of degree bounds for weighted sums of squares representations. J. Complexity 21, 823-844 (2005)
    • (2005) J. Complexity , vol.21 , pp. 823-844
    • Scheiderer, C.1
  • 17
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    • The K -moment problem for compact semi-algebraic sets
    • Schmüdgen, K.: The K -moment problem for compact semi-algebraic sets. Math. Ann. 289, 203-206 (1991)
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    • Schmüdgen, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.