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A note on Tchakaloff's Theorem


Author: Mihai Putinar
Journal: Proc. Amer. Math. Soc. 125 (1997), 2409-2414
MSC (1991): Primary 65D32, 44A60
MathSciNet review: 1389533
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Abstract: A classical result of Tchakaloff on the existence of exact quadrature formulae up to a given degree is extended to positive measures without compact support. A criterion for the existence of Gaussian quadratures for a class of such measures is also derived from the main proof.


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Additional Information

Mihai Putinar
Affiliation: Department of Mathematics, University of California, Riverside, California 92521
Email: mputinar@math.ucr.edu

DOI: https://doi.org/10.1090/S0002-9939-97-03862-8
Received by editor(s): January 16, 1996
Received by editor(s) in revised form: February 22, 1996
Additional Notes: This work was partially supported by the National Foundation Grant DMS 9500954
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1997 American Mathematical Society