A duality proof of Tchakaloff's theorem

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dc.creatorCurto, Raul E.
dc.creatorFialkow, Lawrence A.
dc.date2002-07-06
dc.date.accessioned2026-07-07T04:49:34Z
dc.date.available2026-07-07T04:49:34Z
dc.descriptionTchakaloff'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.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0207065
dc.identifierhttp://arxiv.org/abs/math/0207065
dc.identifierJ. Math. Anal. Appl. 269(2002), 519-532
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64472
dc.subjectFunctional Analysis
dc.subject47A57; 46A20; 65D32; 44A60
dc.titleA duality proof of Tchakaloff's theorem
dc.typetext

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