The Gaussian Measure on Algebraic Varieties

  • Published 1998


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

Cite this paper

@inproceedings{AGRICOLA1998TheGM, title={The Gaussian Measure on Algebraic Varieties}, author={ILKA AGRICOLA}, year={1998} }