The Gaussian Measure On Algebraic Varieties
Agricola, Ilka · Friedrich, Thomas
Original · EN
We prove that the ring M of all polynomials defined on a real algebraic variety M⊂ⁿ is dense in the Hilbert space L²(M,e⁻|ˣ|²μ), where μ denotes the volume form of M and ν=e⁻|ˣ|²μ the Gaussian measure on M.
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