A duality proof of Tchakaloff's theorem

Details A duality proof of Tchakaloff's theorem A duality proof of Tchakaloff's theorem

2002-07-06

arxiv.org/abs/math/0207065v1

J. Math. Anal. Appl. 269(2002), 519-532

Mathematics

Functional Analysis

16 pages

Scientific paper

Tchakaloff's Theorem establishes the existence of a quadrature rule of prescribed degree relative to a positive, compactly supported measure that is absolutely continuous with respect to Lebesgue measure on $\mathbb{R}^{d}$. Subsequent extensions were obtained by Mysovskikh and by Putinar. We provide new proofs and partial extensions of these results, based on duality techniques utilized by Stochel. We also obtain new uniqueness criteria in the Truncated Complex Moment Problem.

Affiliated with

Also associated with

No associations

Rating

A duality proof of Tchakaloff's theorem does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A duality proof of Tchakaloff's theorem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A duality proof of Tchakaloff's theorem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-666033