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Generalized Tchakaloff's theorem for semi-spectral measures |
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| Authors: | Lih-Chung Wang Chih-Rung Chen |
| Institution: | Department of Applied Mathematics, National Donghwa University, Shoufeng, Hualien 974, Taiwan ; Institute of Statistics, National Chiao Tung University, Hsinchu 300, Taiwan |
| 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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