Geodesic
The Gaussian measure on algebraic varieties
Fundamenta Mathematicae, Tome 159 (1999) no. 1, pp. 91-98 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove that the ring ℝ[M] of all polynomials defined on a real algebraic variety $M⊂ℝ^n$ is dense in the Hilbert space $L^2(M,e^{-|x|^2}dμ)$, where dμ denotes the volume form of M and $dν = e^{-|x|^2}dμ$ the Gaussian measure on M.
DOI : 10.4064/fm-159-1-91-98
Keywords: Gaussian measure, algebraic variety

Ilka Agricola 1 ; Thomas Friedrich 1

1 
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Ilka Agricola; Thomas Friedrich. The Gaussian measure on algebraic varieties. Fundamenta Mathematicae, Tome 159 (1999) no. 1, pp. 91-98. doi: 10.4064/fm-159-1-91-98

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