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Displaying similar documents to “Ramanujan's formulas for the explicit evaluation of the Rogers-Ramanujan continued fraction and theta-functions”

The Gaussian measure on algebraic varieties

Ilka Agricola, Thomas Friedrich (1999)

Fundamenta Mathematicae

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We prove that the ring ℝ[M] of all polynomials defined on a real algebraic variety M n is dense in the Hilbert space L 2 ( M , e - | x | 2 d μ ) , where dμ denotes the volume form of M and d ν = e - | x | 2 d μ the Gaussian measure on M.