Civil War Book Review · 2004 · 13 citations · 1 references
Natural SciencesMathematicsMathematical PhysicsProbability TheoryOperator TheoryGaussian DistributionsInfinite-dimensional Hilbert SpacesInversion TheoremsRadonRadon Transform
Abstract. Gaussian measure is constructed for any given hyperplane in an infinite-dimensional Hilbert space, and this is used to define a generalization of the Radon transform to the infinite-dimensional setting, using Gaussian measure instead of Lebesgue. An inversion procedure is obtained for this Radon-Gauss transform. 1.
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PE, P. Billingsley · Journal of the American Statistical Association · 1996 · 6.7K citations