The proof of Tchakaloff's Theorem
classification
🧮 math.NA
keywords
momentsprooftchakalofftheoremborelconditionscubaturedegree
read the original abstract
We provide a simple proof of Tchakaloff's Theorem on the existence of cubature formulas of degree $m$ for Borel measures with moments up to order $m$. The result improves known results for non-compact supports, since we do not need conditions on $(m+1)$st moments.
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