A note on tchakaloff's theorem

Proceedings of the American Mathematical Society

Volumn 125, Issue 8, 1997, Pages 2409-2414

  Putinar, Mihai ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21744461770     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-97-03862-8     Document Type: Article

References (10)

1. Berens, H., Schmid, H.J. and Xu, Y., Multivariate Gaussian cubature formulae, Arch. Math. 64(1995), 26-32. MR 95i:41054
2. Curto, R.E. and Fialkow, L., Flat extensions of positive moment matrices: relations in analytic or conjugate terms, preprint 1994.
3. Mysovskikh, I.P., On Chakalov's theorem, U.S.S.R. Comput. Math, and Math. Phys. 15(1975), no. 6, 221-227;
4. (translation in Zh. Vychisl. Mat. i Mat. Fiz. 15(1975), no. 6, 1589-1593, 1627).
5. Mysovskikh, I.P., Interpolation cubature formulas (in Russian), Nauka, Moscow, 1981.
6. Reznick, B., Sums of even powers of real linear forms, Mem. Amer. Math. Soc. No. 463, Amer. Math. Soc., Providence, R.I., 1992. MR 93h:11043
7. Stroud, A.H., Approximate Calculation of Multiple Integrals, Prentice-Hall, Englewood Cliffs, New Jersey, 1971. MR 48:5348
8. Schmid, H.J., Interpolatorische Kubaturformeln, Diss. Math. (Rozprawy Mat.) 220(1983), 122 pp. MR 851:65034
9. Schmid, H.J., Two-dimensional minimal cubature formulas and matrix equations, SIAM J. Matrix Anal. Appl. 16(1995), 898-921. MR 96d:65050
10. Tchakaloff, V., Formules de cubature mécanique àcoefficients non négatifs, Bull. Sei. Math. 81(1957), 123-134. MR 20:1145