A note on Tchakaloff’s Theorem

Putinar, Mihai

doi:10.1090/S0002-9939-97-03862-8

A note on Tchakaloff’s Theorem
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by Mihai Putinar PDF

Proc. Amer. Math. Soc. 125 (1997), 2409-2414 Request permission

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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