%0 Journal Article
%T The proof of Tchakaloff's Theorem
%A Christian Bayer
%A Josef Teichmann
%J Mathematics
%D 2005
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/0502473v2