Title: | Generalized Tchakaloff's Theorem for semi-spectral measures |
Authors: | Wang, LC Chen, CR 統計學研究所 Institute of Statistics |
Issue Date: | 2003 |
Abstract: | We proved the existence of exact quadrature formulae with semipositive 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. |
URI: | http://hdl.handle.net/11536/28295 http://dx.doi.org/10.1090/S0002-9939-02-06793-X |
ISSN: | 0002-9939 |
DOI: | 10.1090/S0002-9939-02-06793-X |
Journal: | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY |
Volume: | 131 |
Issue: | 7 |
Begin Page: | 2201 |
End Page: | 2207 |
Appears in Collections: | Articles |
Files in This Item:
If it is a zip file, please download the file and unzip it, then open index.html in a browser to view the full text content.