The Radon-Gauss transform
Vochita Mihai · Civil War Book Review · 2004
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.