Generalized Tchakaloff’s theorem for semi-spectral measures

Wang, Lih-Chung; Chen, Chih-Rung

doi:10.1090/S0002-9939-02-06793-X

Generalized Tchakaloff’s theorem for semi-spectral measures
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by Lih-Chung Wang and Chih-Rung Chen PDF

Proc. Amer. Math. Soc. 131 (2003), 2201-2207 Request permission

Abstract:

We proved the existence of exact quadrature formulae with semi-positive definite coefficient matrices for polynomials of prescribed degree in $n$ 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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