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Generalized Tchakaloff's theorem for semi-spectral measures
Authors:
Lih-Chung Wang and Chih-Rung Chen
Journal:
Proc. Amer. Math. Soc. 131 (2003), 2201-2207
MSC (2000):
Primary 65D32, 44A60
Posted:
November 6, 2002
MathSciNet review:
1963768
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Abstract: We proved the existence of exact quadrature formulae with semi-positive definite coefficient matrices for polynomials of prescribed degree in  variables and with respect to a semi-spectral measure. Our proof could be viewed as a direct translation (generalization) of Putinar's result on the existence of quadrature formulae for a positive measure without compact support.
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Additional Information
Lih-Chung Wang
Affiliation:
Department of Applied Mathematics, National Donghwa University, Shoufeng, Hualien 974, Taiwan
Email:
lcwang@mail.ndhu.edu.tw
Chih-Rung Chen
Affiliation:
Institute of Statistics, National Chiao Tung University, Hsinchu 300, Taiwan
Email:
cchen@stat.nctu.edu.tw
DOI:
http://dx.doi.org/10.1090/S0002-9939-02-06793-X
PII:
S 0002-9939(02)06793-X
Received by editor(s):
March 1, 2001
Received by editor(s) in revised form:
February 12, 2002
Posted:
November 6, 2002
Additional Notes:
This paper was partially supported by the National Science Council (NSC-87-2119-M-259-004)
Communicated by:
Joseph A. Ball
Article copyright:
© Copyright 2002 American Mathematical Society
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