%0 Journal Article %T A Striktpositivstellensatz for measurable functions (corrected version) %A Mihai Putinar %J Mathematics %D 2009 %I arXiv %X A weighted sums of squares decomposition of positive Borel measurable functions on a bounded Borel subset of the Euclidean space is obtained via duality from the spectral theorem for tuples of commuting self-adjoint operators. The analogous result for polynomials or certain rational functions was amply exploited during the last decade in a variety of applications. %U http://arxiv.org/abs/0911.0644v1